[1] A model of radiational gaseous stars

[2] Quermassintegral preserving curvature flow in hyperbolic space

[3] Existence of Multi-dimensional Contact Discontinuities for the Ideal Compressible Magnetohydrodynamics

[4] Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems

[5] Multiplication in Sobolev spaces, revisited

[6] Global classical and weak solutions to the three-dimensional full compressible Navier-Stokes system with vacuum and large oscillations

[7] Trace theorems for some nonlocal energy spaces with heterogeneous localization

[8] Calabi-Yau manifolds with isolated conical singularities

[9] Wave propagation speed on fractals

[10] Efficient Parallel Simulation of Blood Flows in Abdominal Aorta

[11] L2-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws

[12] Semiclassical measures on hyperbolic surfaces have full support

[13] Optimal Sobolev norms and the Lp Minkowski problem

[14] On improved fractional Sobolev–Poincaré inequalities

[15] A geometric approach to generalized Stokes conjectures

[16] Partial differential equations in several complex variables

[17] Spectral analysis and computation of effective diffusivities in space-time periodic incompressible flows

[18] Generalized characteristics and Lax-Oleinik operators: global theory

[19] On classical solutions to the Cauchy problem of the two-dimensional barotropic compressible Navier-Stokes equations with vacuum

[20] Uncertain Multilevel Programming: Algorithm and Applications

[21] Contact discontinuity with general perturbations for gas motions

[22] Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media

[23] Global existence of smooth solutions and convergence to Barenblatt solutions for the physical vacuum free boundary problem of compressible Euler equations with damping

[24] Estimates of the gaps between consecutive eigenvalues of Laplacian

[25] On the Free Surface Motion of Highly Subsonic Heat-conducting Inviscid Flows

[26] Global solutions of the gravity-capillary water-wave system in three dimensions

[27] A simple proof of the Cucker-Smale flocking dynamics and mean-field limit

[28] Existence and blowup behavior of global strong solutions to the two-dimensional barotropic compressible Navier–Stokes system with vacuum and large initial data

[29] Monge–Ampère equations in big cohomology classes

[30] Weyl-type asymptotic formula for Schr\"odinger operators on unbounded fractal spaces

[31] Mean Field Equation of Liouville Type with Singular Data Topological Degree

[32] On the formation of shocks for quasilinear wave equations

[33] Instantaneous unboundedness of the entropy and uniform positivity of the temperature for the compressible Navier-Stokes equations with fast decay density

[34] Stability of contact discontinuity for the Boltzmann equation

[35] Basic themes and pretty problems of nonlinear solid mechanics

[36] On a doubly critical Schrodinger system in R4 with steep potential wells

[37] Uniqueness of topological solutions and the structure of solutions for the Chern-Simons system with two Higgs particles

[38] The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures

[39] Passive Array Correlation-Based Imaging in a Random Waveguide

[40] The existence of the solution of the wave equation on graphs

[41] A Holder estimate for non-uniform elliptic equations in a random medium

[42] Refined hyper-contractivity and uniqueness for the Keller-Segel equations

[43] Cutoff Boltzmann equation with polynomial perturbation near Maxwellian

[44] Energy method for Boltzmann equation

[45] Mean field equations, hyperelliptic curves and modular forms: I

[46] Global regularity for the 3D finite depth capillary water waves

[47] Front Quenching in G-equation Model Induced by Straining of Cellular Flow

[48] Blow up for the critical generalized Korteweg–de Vries equation. I: Dynamics near the soliton

[49] Some compactness criteria for weak solutions of time fractional PDEs

[50] Corrector theory for elliptic equations with long-range correlated random potential

[51] Harnack and mean value inequalities on graphs

[52] Weak solution of a continuum model for vicinal surface in the attachment-detachment-limited regime

[53] On the constant scalar curvature K\"ahler metrics-apriori estimates

[54] The logarithmic Minkowski problem

[55] On convolution groups of completely monotone sequences/functions and fractional calculus

[56] On the regularity of solutions to a generalization of the Minkowski problem

[57] Effective fronts of polygon shapes in two dimensions

[58] Large time average of reachable sets and Applications to Homogenization of interfaces moving with oscillatory spatio-temporal velocity

[59] Calculus of variations on locally finite graphs

[60] Heterogeneously localized nonlocal operators, boundary traces and variational problems

[61] Effective Fronts of Polytope Shapes

[62] The existence and nonexistence of global solutions for a semilinear heat equation on graphs

[63] Existence and decay estimates for time dependent parabolic equation with application to DuncanMortensenZakai equation

[64] Stable hypersurfaces with zero scalar curvature in Euclidean space

[65] On a K-component elliptic system with the Sobolev critical exponent in high dimensions: the repulsive case

[66] Transonic Shocks for the Full Compressible Euler Systems in a general two-dimensional de Laval nozzle

[67] On the Finite-time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations

[68] Asymptotic behavior of equilibrium states of reaction–diffusion systems with mass conservation

[69] A heat flow for the mean field equation on a finite graph

[70] Minimizers of Caffarelli-Kohn-Nirenberg inequalities with the singularity on the boundary.

[71] Higher integrability for vector-valued parabolic quasi-minimizers on metric measure spaces

[72] 2D Homogeneous Solutions to the Euler Equation

[73] Stability of wave patterns to the inflow problem of full compressible NavierStokes equations

[74] Curvature estimates for immersed hypersurfaces in Riemannian manifolds

[75] Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion

[76] Random conformal weldings

[77] Entropy-bounded solutions to the one-dimensional heat conductive compressible Navier--Stokes equations with far field vacuum

[78] Exact number and non-degeneracy of critical points of multiple Green functions on rectangular tori

[79] L^p gradient estimate for elliptic equations with high-contrast conductivities in R^n

[80] On a two-component Bose-Einstein condensate with steep potential wells

[81] Generalization of Selberg’s $$ \frac{3}{{16}} $$ theorem and affine sieve

[82] Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent m > 0

[83] Entire solutions with merging three fronts to the Allen-Cahn equation

[84] Two exponential-type integrators for the “good” Boussinesq equation

[85] Hölder regularity for degenerate parabolic obstacle problems

[86] Long-time behavior of solutions to the bipolar hydrodynamic model of semiconductors with boundary effect

[87] Nonhexagonal lattices from a two species interacting system

[88] The p-capacitary Orlicz–Hadamard variational formula and Orlicz–Minkowski problems

[89] Compression bounds for Lipschitz maps from the Heisenberg group to$L$_{1}

[90] Regularity of the Schrödinger equation for the harmonic oscillator

[91] Normalized solutions for a coupled Schr\"odinger system

[92] Least action principles for incompressible flows and optimal transport between shapes

[93] Propagation of uniform boundedness of entropy and inhomogeneous regularities for viscous and heat conductive gases with far field vacuum in three dimensions

[94] Corrector Analysis of a Heterogeneous Multi-scale Scheme for Elliptic Equations with Random Potential

[95] Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation

[96] An Efficient Semi-Implicit Immersed Boundary Method for the Navier-Stokes Equations

[97] Asymptotic behavior of solutions to a class of diffusive predator-prey systems

[98] Spikes of the two-component elliptic system in R4 with the critical Sobolev exponent

[99] Directional Poincaré inequalities along mixing flows

[100] A degenerate p-Laplacian Keller-Segel model

[101] On Weyl's embedding problem in Riemannian manifolds

[102] Spectroscopic imaging of a dilute cell suspension

[103] Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions

[104] Self-dual radial non-topological solutions to a competitive Chern-Simons model

[105] Global regularity for the Monge-Ampère equation with natural boundary condition

[106] Resonance-free region in scattering by a strictly convex obstacle

[107] A generalized Sz. Nagy inequality in higher dimensions and the critical thin film equation

[108] Evolution of the two dimensional Boussinesq system

[109] Starshaped compact hypersurfaces with prescribed Weingarden curvature in warped product manifolds

[110] The Fu–Yau equation with negative slope parameter

[111] Pointwise estimate for elliptic equations in periodic perforated domains

[112] Global Well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional Compressible Navier-Stokes equations

[113] Analytical validation of a continuum model for the evolution of a crystal surface in multiple space dimensions

[114] Removable singularity of positive solutions for a critical elliptic system with isolated singularity

[115] Homogenization of interfaces moving in spatially random temporally periodic environment

[116] Asymptotic-Preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density

[117] A volume preserving flow and the isoperimetric problem in warped product spaces

[118] Non-uniform elliptic equations in convex Lipschitz domains

[119] A Nonlocal Stokes system with volume constraints

[120] Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces

[121] Uniform bound and convergence for elliptic homogenization problems

[122] Uniform $L^{\infty}$ boundedness for a degenerate parabolic-parabolic Keller-Segel model

[123] Kazdan–Warner equation on graph

[124] Uniqueness of topological multivortex solutions in the Maxwell-Chern-Simons model

[125] Global integral gradient bounds for quasilinear equations below or near the natural exponent

[126] Stability of the Superposition of a Viscous Contact Wave with Two Rarefaction Waves to the Bipolar Vlasov--Poisson--Boltzmann System

[127] Yamabe type equations on graphs

[128] Global uniqueness of the minimal sphere in the Atiyah--Hitchin manifold

[129] Convergence for elliptic equations in periodic perforated domains

[130] Instability of spherical naked singularities of a scalar field under gravitational perturbations

[131] Asymptotic behavior of positive singular solutions to fractional Hardy-Henon equations

[132] Serrin-type blowup criterion for viscous, compressible, and heat conducting Navier-Stokes and magnetohydrodynamic flows

[133] Elliptic and parabolic equations in fractured media

[134] Stability of Contact Waves for Navier-Stokes Equations and Boltzmann Equation

[135] Stability of Traveling Waves of Nonlinear Schrödinger Equation with Nonzero Condition at Infinity

[136] On the formation of trapped surfaces

[137] Entropy bounded solutions to the one-dimensional compressible Navier-Stokes equations with zero heat conduction and far field vacuum

[138] The quenching rate for a nonlocal problem arising in the micro-electro mechanical system

[139] Mean Field Equations, Hyperelliptic curves and modular forms II

[140] Global existence of solutions to a tear film model with locally elevated evaporation rates

[141] Target Identification Using Dictionary Matching of Generalized Polarization Tensors

[142] $R$ -Boundedness versus $\gamma$ -boundedness

[143] A strong stability condition on minimal submanifolds and its implications

[144] On the topology of the set of singularities of a solution of the Hamilton-Jacobi equation

[145] Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities

[146] Fluctuations in the Homogenization of Semilinear Equations with Random Potentials

[147] A four-dimensional Neumann ovaloid

[148] The solution structure of the O(3) sigma model in a Maxwell-Chern-Simons theory

[149] On the constant scalar curvature K\"ahler metrics-general automorphism group

[150] Spectral analysis of the subelliptic oblique derivative problem

[151] Holder estimate for non-uniform parabolic equations in highly heterogeneous media

[152] A proof of Bondesson’s conjecture on stable densities

[153] Modeling light bullets with the two-dimensional sineGordon equation

[154] Spectral asymptotics of one-dimensional graph-directed self-similar measures with overlaps

[155] Global well-posedness of the one-dimensional compressible navier-stokes equations with constant heat conductivity and nonnegative density

[156] Embedded minimal tori in$S$^{3}and the Lawson conjecture

[157] Classification of nondegeneracy of Toda system with singular sources

[158] On Singularity Formation of a 3D Model for Incompressible Navier-Stokes Equations

[159] Accurate Solution and Gradient Computation for Elliptic Interface Problems with Variable Coefficients

[160] Front propagation in heterogeneous media

[161] Well-posedness for the Keller-Segel equation with fractional Laplacian and the theory of propagation of chaos

[162] H\"{o}lder Continuous Solutions to the Three-dimensional Prandtl System

[163] On a new class of partial differential equations

[164] Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum

[165] Zeros of the deformed exponential function

[166] Convergence of vortex methods for weak solutions to the 2-D Euler equations with vortex sheets data

[167] Heat equations defined by a class of fractal measures

[168] Extrapolation from $A_{\infty}^{\rho,\infty}$ , vector-valued inequalities and applications in the Schrödinger settings

[169] Two nonlinear compactness theorems in L p (0,T;B) L p ( 0 , T ; B ) mathContainer Loading Mathjax

[170] Operator-Lipschitz functions in Schatten–von Neumann classes

[171] Existence and uniqueness of solutions for Duncan-Mortensen-Zakai equations

[172] On the quenching behavior of the MEMS with fringing field

[173] The convergence Newton polygon of a$p$-adic differential equation II: Continuity and finiteness on Berkovich curves

[174] Continuum dynamics of the intention field under weakly cohesive social interaction

[175] Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model

[176] Topological multivortex solutions for the Chern-Simons system with two Higgs particles

[177] Polynomial hulls and proper analytic disks

[178] On the role of Riesz potentials in Poisson's equation and Sobolev embeddings

[179] Perturbation theorems for Hele-Shaw flows and their applications

[180] Nonlinear stability of discrete shocks for systems of conservation laws

[181] The weyl problem in warped product spaces

[182] Local Well-posedness of Strong Solutions to the Three-dimensional Compressible Primitive Equations

[183] Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics

[184] Boundary layer behavior in the fluid-dynamic limit for a nonlinear model Boltzmann equation

[185] Addendum: 2D homogeneous solutions to the Euler equation

[186] An accurate front capturing scheme for tumor growth models with a free boundary limit

[187] Flow on sweeping networks

[188] Uniqueness of positive solution to some coupled cooperative variational elliptic systems

[189] On a Class of Functional Inequalities and their Applications to Fourth-Order Nonlinear Parabolic Equations

[190] The dual Orlicz-Minkowski problem

[191] Compressible NavierStokes equations with degenerate viscosity coefficient and vacuum

[192] An improved Combes–Thomas estimate of magnetic Schrödinger operators

[193] Maximal Marcinkiewicz multipliers

[194] General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski Problem I

[195] Invertibility of nonsmooth mappings

[196] The primitive equations approximation of the anisotropic horizontally viscous Navier-Stokes equations

[197] Well-posedness and singular limit of a semilinear hyperbolic relaxation system with a two-scale discontinuous relaxation rate

[198] Regularity for a fractional $p$-Laplace equation

[199] On the incompressible fluid limit and the vortex motion law of the nonlinear Schrdinger equation

[200] Stochastic homogenization of viscous superquadratic Hamilton–Jacobi equations in dynamic random environment

[201] Nonlinear Differential Equations in Geometry and Physics.

[202] MHD boundary layers in Sobolev spaces without monotonicity, II: Convergence theory

[203] A sharp lower bound for the log canonical threshold

[204] Well-posedness for Hall-magnetohydrodynamics

[205] Uniform exponential stability of the Ekman spiral

[206] Nonlinear stability of rarefaction waves for the Boltzmann equation

[207] Maximization of the second non-trivial Neumann eigenvalue

[208] Fu-Yau Hessian equation

[209] Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate

[210] Existence of multidimensional traveling waves in the transport of reactive solutes through periodic porous media

[211] Fluid dynamic limit to the Riemann solutions of Euler equations: I. Superposition of rarefaction waves and contact discontinuity

[212] Compressible Euler equations with vacuum

[213] Homogenization and boundary layers

[214] A reverse quasiconformal composition problem for Qα(Rn)

[215] Comparisons between sine-Gordon and perturbed nonlinear Schrdinger equations for modeling light bullets beyond critical collapse

[216] A random particle blob method for the Keller-Segel equation and convergence analysis

[217] Global infinite energy solutions for the 2D gravity water waves system

[218] Thin film epitaxy with or without slope selection

[219] A new type of non-topological bubbling solutions to a competitive Chern-Simons model

[220] Curvature effect in shear flow: slowdown of turbulent flame speeds with Markstein number

[221] Hydrodynamic limit of the Boltzmann equation with contact discontinuities

[222] Numerical methods for oscillatory solutions to hyperbolic problems

[223] Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces

[224] Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system

[225] A note on $L^{\infty}$-bound and uniqueness to a degenerate Keller-Segel model

[226] Boundary integral operators and boundary value problems for Laplace’s equation

[227] A global unique solvability of entropic weak solution to the one-dimensional pressureless Euler system with a flocking dissipation

[228] On a Schrodinger-Landau-Lifshitz system: Variational structure and numerical methods

[229] Non-uniqueness of Weak Solutions to Hyperviscous Navier-Stokes Equations - On Sharpness of J.-L. Lions Exponent

[230] Large-scale dynamics of Mean-Field Games driven by local Nash equilibria

[231] Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property

[232] Conservation-dissipation formalism of irreversible thermodynamics

[233] Ultra-contractivity for Keller-Segel model with diffusion exponent m>1-2/d

[234] Asymptotic-Preserving schemes for kinetic-fluid modeling of disperse two-phase flows

[235] Global stability of wave patterns for compressible Navier-Stokes system with free boundary

[236] Corrector theory for elliptic equations in random media with singular Green’s function. application to random boundaries

[237] Convergence analysis of the vortex blob method for the b-equation

[238] Evaluating solutions on an elliptic problem in a gravitational gauge field theory

[239] An asymptotic propertiy of the Camassa-Holm equation

[240] Convergence of a Particle Method and Global Weak Solutions of a Family of Evolutionary PDEs

[241] Existence and nonexistence to exterior Dirichlet problem for Monge-Ampere equation

[242] Blow-up, zero $\alpha$ limit and the Liouville type theorem for the Euler-Poincar\'{e} equations

[243] Non-uniqueness of Admissible Weak Solutions to Compressible Euler Systems with Source Terms

[244] Stability of Nonlinear Wave Patterns to the Bipolar VlasovPoissonBoltzmann System

[245] A note on Monge–Amp`ere Keller–Segel equation

[246] Error estimate of a random particle blob method for the Keller-Segel equation

[247] Limiting distribution of elliptic homogenization error with periodic diffusion and random potential

[248] Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows

[249] Global weak entropy solution to Doi-Saintillan-Shelley model for active and passive rod-like and ellipsoidal particle suspensions

[250] Global small solutions of heat conductive compressible Navier-Stokes equations with vacuum: smallness on scaling invariant quantity

[251] Analysis of polymeric flow models and related compactness theorems in weighted spaces

[252] L1 stability estimates for n n conservation laws

[253] Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrdinger equations

[254] Existence of global smooth solutions for Euler equations with symmetry (II)

[255] Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks

[256] Existence of solutions to the even dual minkowski problem

[257] Qualitative analysis for an elliptic system in the punctured space

[258] A normality criterion involving rotations and dilations in the argument

[259] Global solution for the 3D gravity water waves system above a flat bottom

[260] Linear elliptic equations in composite media with anisotropic fibres

[261] Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system

[262] Dynamics in a kinetic model of oriented particles with phase transition

[263] Global stability for solutions to the exponential PDE describing epitaxial growth

[264] Existence and Multiplicity of Nontrivial Solutions for Biharmonic Equations with Singular Weight Functions

[265] Existence of KPP type fronts in space-time periodic shear flows and a study of minimal speeds based on variational principle

[266] On Singularity Formation of a Nonlinear Nonlocal System

[267] MHD Boundary Layers Theory in Sobolev Spaces Without Monotonicity I: Well-Posedness Theory

[268] Asymptotic analysis for time harmonic wave problems with small wave number

[269] Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity

[270] Well-posedness in Gevrey function space for the three-dimensional Prandtl equations

[271] An exact solution for Stokes flow in a channel with arbitrarily large wall permeability

[272] Time regularity of the solutions to second order hyperbolic equations

[273] A functional integral approach to shock wave solutions of Euler equations with spherical symmetry

[274] On the solutions to a Liouville-type system involving singularity

[275] A well-posedness theory for the Prandtl equations in three space variables

[276] On a two-component Bose–Einstein condensate with steep potential wells

[277] Inverse curvature flow in anti-de Sitter-Schwarzschild manifold

[278] Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles

[279] Ill-posedness of the Prandtl equations in Sobolev spaces around a shear flow with general decay

[280] 1-minimization method for link flow correction

[281] Multidimensional Degenerate Keller–Segel System with Critical Diffusion Exponent $2n/(n+2)$ Read More: http://epubs.siam.org/doi/abs/10.1137/110839102

[282] Spectral theory for the Weil–Petersson Laplacian on the Riemann moduli space

[283] MHD Boundary Layers Theory in Sobolev Spaces Without Monotonicity I: WellPosedness Theory

[284] Global well-posedness of $z$-weak solutions to the primitive equations without vertical diffusivity

[285] Hydrodynamic models of self-organized dynamics: derivation and existence theory

[286] Existence of local solutions for the Boltzmann equation without angular cutoff

[287] Relaxation and diffusion enhanced dispersive waves

[288] A Mixed Discontinuous Galerkin Method Without Interior Penalty for Time-Dependent Fourth Order Problems

[289] Macroscopic fluid modes with localized kinetic upscaling effects

[290] On the Solvability of An Indefinite Nonlinear Kirchhoff Equation via Associated Eigenvalue Problems

[291] Stable discretization of magnetohydrodynamics in bounded domains

[292] Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff

[293] Global well-posedness of the Boltzmann equation with large amplitude initial data

[294] On time-splitting methods for nonlinear Schrödinger equation with highly oscillatory potential

[295] On the Carleson duality

[296] Global existence for a thin film equation with subcritical mass

[297] Nonlinear stability of boundary layers of the Boltzmann equation, I. The case M< 1

[298] Kinetic and viscous boundary layers for the Broadwell equations

[299] Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space

[300] A vicinal surface model for epitaxial growth with logarithmic free energy

[301] Uniform L_1 boundedness of solutions of hyperbolic conservation laws

[302] Localization, Stability, and Resolution of Topological Derivative Based Imaging Functionals in Elasticity

[303] Ground-state solutions of a two-component elliptic system in R4 with the Sobolev critical exponent

[304] Strong damping wave equations defined by a class of self-similar measures with overlaps,

[305] Local existence and uniqueness of heat conductive compressible Navier-Stokes equations in the presence of vacuum and without initial compatibility conditions

[306] Analytical solutions to the 3-D compressible Navier-Stokes equations with free boundaries

[307] P-Euler equations and p-Navier-Stokes equations,

[308] Self-similar spreading in a merging-splitting model of animal group size

[309] The Boltzmann equation without angular cutoff in the whole space: I, Global existence for soft potential

[310] Estimation of the heat conducted by a cluster of small cavities and characterization of the equivalent heat conduction

[311] Stochastic analysis of biodegradation fronts in one-dimensional heterogeneous porous media

[312] Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid HamiltonJacobi models

[313] Effects of small viscosity and far field boundary conditions for hyperbolic systems

[314] Stability of the one-species VlasovPoissonBoltzmann system

[315] Structural stability and bifurcation for 2D incompressible flows with symmetry

[316] On the Expanding Configurations of Viscous Radiation Gaseous Stars: Isentropic and Thermodynamic Models

[317] On $l_p$-estimates for elliptic and parabolic equations with $a_p$ weights

[318] Regularizing effect and local existence for the non-cutoff Boltzmann equation

[319] A coupled chemotaxis-fluid model: Global existence

[320] Partial regularity for weak solutions to a PDE system with cubic nonlinearities

[321] On the ill-posedness of the Prandtl equations in three-dimensional space

[322] The VlasovPoissonBoltzmann system in the whole space: The hard potential case

[323] Computing reactive front speeds in random flows by variational principle

[324] Global existence and full regularity of the Boltzmann equation without angular cutoff

[325] Error estimates of the aggregation-diffusion splitting algorithms for the Keller-Segel equations

[326] Existence of multiple positive solutions for nonhomogeneous elliptic problems in RN

[327] Local existence and uniqueness of strong solutions to the free boundary problem of the full compressible Navier-Stokes equations in 3D

[328] Well-posedness in Gevrey space for the Prandtl equations with non-degenerate critical points

[329] Stability of a relaxation model with a nonconvex flux

[330] A numerical study of the light bullets interaction in the (2+ 1) sine-Gordon equation

[331] Convergence of point vortex method for 2-D vortex sheet

[332] Some remarks on boundary operators of Bessel extensions

[333] Regularized numerical methods for the logarithmic Schrödinger equation

[334] Coagulation-fragmentation model for animal group-size statistics

[335] Optimal convergence rates for the compressible Navier-Stokes equations with potential force

[336] Multiple positive solutions for a Dirichlet problem involving critical Sobolev exponent

[337] Eptaxial growth without slope selection: energetics, coarsening, and dynamic scaling

[338] Global solutions to a reactive Boussinesq system with front data on an infinite domain

[339] Gradient estimates for parabolic and elliptic systems from linear laminates

[340] Evolutions of the momentum density, deformation tensor and the nonlocal term of the Camassa-Holm equation

[341] Global existence to Boltzmann equation with external force in infinite vacuum

[342] Monge-Ampere equation with bounded periodic data

[343] Periodic orbits of the ABC flow with A= B= C= 1

[344] Existence Theorems for a Multidimensional Crystal Surface Model

[345] Quenching and propagation of bistable reaction-diffusion fronts in multidimensional periodic media

[346] Regularity of solutions for the Boltzmann equation without angular cutoff

[347] A multiplicity result for a non-local parametric problem with periodic boundary conditions

[348] The Boltzmann equation without angular cutoff. Global existence and full regularity of the Boltzmann equation without angular cutoff. Part I: Maxwellian case and small singularity.

[349] The Mathematics of Shock Reflection-Diffraction and von Neumann's conjectures

[350] Optimal convergence rates for the compressible NavierStokes equations with potential forces

[351] Control of eigenfunctions on surfaces of variable curvature

[352] Global strong solutions to the Cauchy problem of the planar non-resistive magnetohydrodynamic equations with large initial data

[353] Well-posedness of thermal layer equations for inviscid compressible flows

[354] Estimates on the Stokes pressure by partitioning the energy of harmonic functions

[355] Cauchy problems for Keller–Segel type time–space fractional diffusion equation

[356] Global solutions to the Boltzmann equation with external forces

[357] Time periodic solution to the compressible Navier-Stokes equations in a periodic domain

[358] Recovering the boundary corrosion from electrical potential distribution using partial boundary data

[359] Error estimate of the particle method for the b-equation

[360] Turbulent Flame Speeds of G-equation Models in Unsteady Cellular Flows

[361] Weak solutions of general systems of hyperbolic conservation laws

[362] Log-Sobolev Inequalities on Graphs with Positive Curvature

[363] Characterization and regularity for axisymmetric solenoidal vector elds with application to Navier-Stokes equation

[364] Pointwise estimates and Lp convergence rates to diffusion waves for p-system with damping

[365] Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains

[366] Computing residual diffusivity by adaptive basis learning via spectral method

[367] An improved convergence rate of Glimm scheme for general systems of hyperbolic conservation laws

[368] A half-space problem for the Boltzmann equation with specular reflection boundary condition

[369] Regularity for a fractional p-Laplace equation

[370] Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum

[371] Fluid extraction across pumping and permeable walls in the viscous limit

[372] Parabolic and elliptic systems in divergence form with variably partially BMO coefficients

[373] Boundary-layer separation and adverse pressure gradient for 2-D viscous incompressible flow

[374] A variational principle for KPP front speeds in temporally random shear flows

[375] Time periodic solutions of the Navier-Stokes equations in unbounded cylindrical domains---Leray's problem for periodic flows

[376] L1-stability of stationary discrete shocks

[377] On incompressible Navier-Stokes dynamics: a new approach for analysis and computation

[378] Resolution and stability analysis in acousto-electric imaging

[379] Compressible Viscous Flows in a Symmetric Domain with Complete Slip Boundary

[380] Segmentation and tracking of 3D neuron microscopy images using a PDE based method and connected component labeling algorithm

[381] A numerical study of fronts in random media using a reactive solute transport model

[382] The Boltzmann equation with soft potentials near a local Maxwellian

[383] A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations

[384] Stable solutions to semilinear elliptic equations are smooth up to dimension 9

[385] Zero-viscosity Limit for Boussinesq Equations with Vertical Viscosity and Navier Boundary in the Half Plane

[386] Regularity criteria for the dissipative quasi-geostrophic equations in Hlder spaces

[387] White noise perturbation of the viscous shock fronts of the Burgers equation

[388] Propagation of regularity and long time behavior of the 3D massive relativistic transport equation II: Vlasov-Maxwell system.

[389] Waiting time for a non-Newtonian polytropic filtration equation with convection

[390] Global existence of weak solution to the heat and moisture transport system in fibrous porous media

[391] Zero dissipation limit of the compressible heat-conducting Navier-Stokes equations in the presence of the shock

[392] Link Flow Correction For Inconsistent Traffic Flow Data Via l1-Minimization

[393] A new hydrostatic reconstruction scheme based on subcell reconstructions

[394] Boundary layer and asymptotic stability for the Navier–Stokes–Poisson equations with nonslip boundary conditions

[395] Existence of traveling waves in a biodegradation model for organic contaminants

[396] Almost Global Solutions to the Three-dimensional Isentropic Inviscid Flows with Damping in Physical Vacuum Around Barenlatt Solutions

[397] Global well-posedness of 2D compressible NavierStokes equations with large data and vacuum

[398] Optimal decay estimates on the linearized Boltzmann equation with time dependent force and their applications

[399] Elastic collisions among peakon solutions for the Camassa-Holm equation

[400] Variational principle based computation of KPP average front speeds in random shear flows

[401] Far field boundary condition for convection diffusion equation at zero viscosity limit

[402] Traveling edge states in massive Dirac equations along slowly varying edges

[403] A sharp decay estimate for positive nonlinear waves

[404] Radiative transfer and diffusion limits for wave field correlations in locally shifted random media

[405] Asymptotics for turbulent flame speeds of the viscous G-equation enhanced by cellular and shear flows

[406] Schrodinger equations defined by a class of self-similar measures

[407] A note on the subcritical two dimensional Keller-Segel system

[408] Propagation of regularity and long time behavior of 3D massive relativistic transport equation I: Vlasov-Nordström system

[409] Diffusion-generated motion by mean curvature for filaments

[410] NavierStokes equations with degenerate viscosity, vacuum and gravitational force

[411] The VlasovMaxwellBoltzmann system near Maxwellians in the whole space with very soft potentials

[412] Scaling limits of waves in convex scalar conservation laws under random initial perturbations

[413] Asymptotic behavior for retarded parabolic equations with superlinear perturbations

[414] Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface

[415] Dissipative quasi-geostrophic equations in critical Sobolev spaces: smoothing effect and global well-posedness

[416] The Boltzmann equation without angular cutoff in the whole space: Qualitative properties of solutions

[417] Bounded solutions of the Boltzmann equation in the whole space

[418] Front speed in the Burgers equation with a random flux

[419] A class of self-similar solutions to a singular and degenerate diffusion equation

[420] High order homogenized Stokes models capture all three regimes

[421] Global existence for the ellipsoidal BGK model with initial large oscillations

[422] Global regularity of weak solutions to quasilinear elliptic and parabolic equations with controlled growth

[423] Geometric estimates for complex Monge-Ampere equations

[424] Asymptotics of the bound state induced by <i></i>-interaction supported on a weakly deformed plane

[425] L1 and BV-type stability of the Boltzmann equation with external forces

[426] Large oscillations arising from a dispersive numerical scheme

[427] Min-max variational principle and front speeds in random shear flows

[428] Convergence rate to stationary solutions for Boltzmann equation with external force

[429] Optimal convergence rates of Landau equation with external forcing in the whole space

[430] A nonlinear functional for general scalar hyperbolic conservation laws

[431] Zero dissipation limit to rarefaction wave with vacuum for one-dimensional compressible NavierStokes equations

[432] Spectral asymptotics of Laplacians related to one-dimensional graph-directed self-similar measures with overlaps

[433] Homogenization of randomly deformed conductivity resistant membranes

[434] A combination of energy method and spectral analysis for study of equations of gas motion

[435] Connection between corner vortices and shear layer instability in flow past an ellipse

[436] Existence of stationary solutions to the VlasovPoissonBoltzmann system

[437] Measure valued solutions to the spatially homogeneous Boltzmann equation without angular cutoff

[438] The rate of asymptotic convergence of strong detonations for a model problem

[439] Convergence to the Self-similar Solutions to the Homogeneous Boltzmann Equation

[440] A new nonlinear functional for general scalar conservation laws

[441] Resonances over a potential well in an island

[442] Radial variation of Bloch functions on the unit ball of ℝ^d

[443] On the convergence rate of vanishing viscosity approximations

[444] A new characterization and global regularity of infinite energy solutions to the homogeneous Boltzmann equation

[445] Lp convergence rates of planar waves for multi-dimensional Euler equations with damping

[446] Bounds on front speeds for inviscid and viscous G-equations

[447] Multi-scale nonlinear singular limit for thermal non-equilibrium gas flow with multiple non-equilibrium modes for analytic data in multi-dimensions with physical boundaries

[448] Positivity-preserving third order DG schemes for Poisson-Nernst-Planck equations

[449] A new Glimm functional and convergence rate of Glimm scheme for general systems of hyperbolic conservation laws

[450] Cauchy problem for the VlasovPoissonBoltzmann system

[451] The Boltzmann equation without angular cutoff in the whole space: I, an essential coercivity estimate

[452] On the dynamical law of the GinzburgLandau vortices on the plane

[453] One-dimensional Compressible Navier--Stokes Equations with Temperature Dependent Transport Coefficients and Large Data

[454] The Kinetic Fokker Planck equation with General Force

[455] Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations

[456] Compactness Framework ofLpApproximate Solutions for Scalar Conservation Laws

[457] Scattering and uniform in time error estimates for splitting method in NLS

[458] Generalized ergodic problems: Existence and uniqueness structures of solutions

[459] The Inviscid Limit to a Contact Discontinuity for the Compressible Navier--Stokes--Fourier System Using the Relative Entropy Method

[460] Stability, relaxation, and oscillation of biodegradation fronts

[461] On resonances and bound states of Smilansky Hamiltonian

[462] Vanishing viscosity limit of the compressible NavierStokes equations for solutions to a Riemann problem

[463] Global solutions and attractors of a Maxwell-Bloch Raman laser system in two transverse dimensions

[464] Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential

[465] Layer potentials for Lamé systems and homogenization of perforated elastic medium with clamped holes

[466] Existence of the discrete travelling waves for a relaxing scheme

[467] Self-similarity in deterministic and stochastic dissipative systems

[468] Global structure and asymptotic behavior of weak solutions to flood wave equations

[469] Semilinear heat equations and parabolic variational inequalities on graphs

[470] Wave packets in the fractional nonlinear Schrödinger equation with a honeycomb potential

[471] Large-time behavior of solutions to the inflow problem of full compressible NavierStokes equations

[472] Moment classification of infinite energy solutions to the homogeneous Boltzmann equation

[473] On-diagonal lower estimate of heat kernels on graphs

[474] Periodic homogenization of the inviscid G-equation for incompressible flows

[475] Oscillations induced by numerical viscosities

[476] Stability of rarefaction waves to the 1D compressible NavierStokes equations with density-dependent viscosity

[477] A Unified Homogenization Approach for the Dirichlet Problem in Perforated Domains

[478] Existence of Solutions to Mean Field Equations on Graphs

[479] A note on the new Glimm functional for general systems of hyperbolic conservation laws

[480] Global weak solution of planetary geostrophic equations with inviscid geostrophic balance

[481] Uncertainty principle and regularity for Boltzmann type equations

[482] A characterization of probability measure with finite moment and an application to the Boltzmann equation

[483] A backscattering model based on corrector theory of homogenization for the random Helmholtz equation

[484] Convergence rate for the homogenization of stationary diffusions in dilutely perforated domains with reflecting boundaries

[485] Kazdan-Warner equation on graph

[486] Justification of diffusion limit for the Boltzmann equation with a non-trivial profile

[487] Wave packet dynamics in slowly modulated photonic graphene

[488] Quantitative thermo-acoustic imaging: an exact reconstruction formula

[489] Nonlinear Asymptomatic Stability of Gravitational Hydrostatic Equilibrium for Viscous White Dwarfs with Symmetric Perturbations

[490] The Boltzmann equation without angular cutoff in the whole space: II, Global existence for hard potential

[491] Generalized hydrodynamics and the classical hydrodynamic limit

[492] PT symmetry in a fractional Schrödinger equation

[493] Homogenization and Corrector Theory for Linear Transport in Random Media

[494] Existence of positive solutions to some nonlinear equations on locally finite graphs

[495] Global smooth solutions for a class of quasilinear hyperbolic systems with dissipative terms

[496] Hypocoercivity of the relativistic Boltzmann and Landau equations in the whole space

[497] Complete-Q Model for Poro-Viscoelastic Media in Subsurface Sensing: Large-Scale Simulation With an Adaptive DG Algorithm

[498] A novel construction of thermodynamically compatible models and its correspondence with Boltzmann-equation-based moment-closure hierarchies

[499] Existence and stability of planar diffusion waves for 2-D Euler equations with damping

[500] Blow-up problems for nonlinear parabolic equations on locally finite graphs

[501] Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations

[502] Long-time behaviour for a model of porous-medium equations with variable coefficients

[503] Well-posedness for a transport equation with nonlocal velocity

[504] Large time asymptotics of solutions to a model combustion system with critical nonlinearity

[505] Periodic homogenization of G-equations and viscosity effects

[506] Finite-dimensional filters with nonlinear drift. V: solution to Kolmogorov equation arising from linear filtering with non-Gaussian initial condition

[507] Real time solution of Duncan-Mortensen-Zakai equation without memory

[508] Modelling thermal front dynamics in microwave heating

[509] Gap control by singular Schr\" odinger operators in a periodically structured metamaterial

[510] Local existence with physical vacuum boundary condition to Euler equations with damping

[511] Non-existence of solutions for a mean field equation on flat tori at critical parameter $16\pi$