[1] A model of radiational gaseous stars

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

[3] Quermassintegral preserving curvature flow in hyperbolic space

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

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

[6] Multiplication in Sobolev spaces, revisited

[7] Calabi-Yau manifolds with isolated conical singularities

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

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

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

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

[12] Wave propagation speed on fractals

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

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

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

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

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

[18] On improved fractional Sobolev–Poincaré inequalities

[19] Semiclassical measures on hyperbolic surfaces have full support

[20] Energy method for Boltzmann equation

[21] Partial differential equations in several complex variables

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

[23] Harnack and mean value inequalities on graphs

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

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

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

[27] Optimal Sobolev norms and the Lp Minkowski problem

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

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

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

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

[32] Cutoff Boltzmann equation with polynomial perturbation near Maxwellian

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

[34] A geometric approach to generalized Stokes conjectures

[35] Calculus of variations on locally finite graphs

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

[37] Uncertain Multilevel Programming: Algorithm and Applications

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

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

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

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

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

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

[44] Effective fronts of polygon shapes in two dimensions

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

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

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

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

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

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

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

[52] Contact discontinuity with general perturbations for gas motions

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

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

[55] The logarithmic Minkowski problem

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

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

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

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

[60] Monge–Ampère equations in big cohomology classes

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

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

[63] Zeros of the deformed exponential function

[64] Effective Fronts of Polytope Shapes

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

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

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

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

[69] Stability of contact discontinuity for the Boltzmann equation

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

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

[72] Random conformal weldings

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

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

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

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

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

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

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

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

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

[82] Directional Poincaré inequalities along mixing flows

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

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

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

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

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

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

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

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

[91] Curvature estimates for immersed hypersurfaces in Riemannian manifolds

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

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

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

[95] 2D Homogeneous Solutions to the Euler Equation

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

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

[98] Nonhexagonal lattices from a two species interacting system

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[116] The weyl problem in warped product spaces

[117] The dual Orlicz-Minkowski problem

[118] Front propagation in heterogeneous media

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

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

[121] Kazdan–Warner equation on graph

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

[123] Hölder regularity for degenerate parabolic obstacle problems

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

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

[126] Nonlinear Differential Equations in Geometry and Physics.

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

[128] A Nonlocal Stokes system with volume constraints

[129] Uniform bound and convergence for elliptic homogenization problems

[130] Yamabe type equations on graphs

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

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

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

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

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

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

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

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

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

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

[141] Spectroscopic imaging of a dilute cell suspension

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

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

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

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

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

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

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

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

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

[151] Evolution of the two dimensional Boussinesq system

[152] On the formation of trapped surfaces

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

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

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

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

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

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

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

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

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

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

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

[164] Convergence for elliptic equations in periodic perforated domains

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

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

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

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

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

[170] Elliptic and parabolic equations in fractured media

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

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

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

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

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

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

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

[178] A four-dimensional Neumann ovaloid

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

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

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

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

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

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

[185] Spectral analysis of the subelliptic oblique derivative problem

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

[187] Conservation-dissipation formalism of irreversible thermodynamics

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

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

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

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

[192] Compressible Euler equations with vacuum

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

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

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

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

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

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

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

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

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

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

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

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

[205] Fu-Yau Hessian equation

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

[207] Well-posedness for Hall-magnetohydrodynamics

[208] On a new class of partial differential equations

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

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

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

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

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

[214] The Kinetic Fokker Planck equation with General Force

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

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

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

[218] Polynomial hulls and proper analytic disks

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

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

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

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

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

[224] L1 stability estimates for n n conservation laws

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

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

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

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

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

[230] Control of eigenfunctions on surfaces of variable curvature

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

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

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

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

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

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

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

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

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

[240] Flow on sweeping networks

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

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

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

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

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

[246] Invertibility of nonsmooth mappings

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

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

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

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

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

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

[253] Numerical methods for oscillatory solutions to hyperbolic problems

[254] Uniform exponential stability of the Ekman spiral

[255] Maximal Marcinkiewicz multipliers

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

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

[258] Homogenization and boundary layers

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[282] Thin film epitaxy with or without slope selection

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

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

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

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

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

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

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

[290] Monge-Ampere equation with bounded periodic data

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[307] Some remarks on boundary operators of Bessel extensions

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

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

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

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

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

[313] 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.

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

[315] On Singularity Formation of a Nonlinear Nonlocal System

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[332] On the Carleson duality

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

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

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

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

[337] Macroscopic fluid modes with localized kinetic upscaling effects

[338] Stability of the one-species VlasovPoissonBoltzmann system

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

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

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

[342] 1-minimization method for link flow correction

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

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

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

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

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

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

[349] Stable discretization of magnetohydrodynamics in bounded domains

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

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

[352] Relaxation and diffusion enhanced dispersive waves

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

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

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

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

[357] Regularized numerical methods for the logarithmic Schrödinger equation

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

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

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

[361] Kazdan-Warner equation on graph

[362] Homogenization of randomly deformed conductivity resistant membranes

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

[364] Regularity for a fractional p-Laplace equation

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[389] Resonances over a potential well in an island

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

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

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

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

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

[395] Geometric estimates for complex Monge-Ampere equations

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

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

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

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

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

[401] Existence Theorems for a Multidimensional Crystal Surface Model

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

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

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

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

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

[407] L1-stability of stationary discrete shocks

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[430] Cauchy problem for the VlasovPoissonBoltzmann system

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

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

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

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

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

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

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

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

[439] Existence of stationary solutions to the VlasovPoissonBoltzmann system

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

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

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

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

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

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

[446] A sharp decay estimate for positive nonlinear waves

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

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

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

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

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

[452] 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

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

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

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

[456] PT symmetry in a fractional Schrödinger equation

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

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

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

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

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

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

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

[464] On the convergence rate of vanishing viscosity approximations

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

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

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

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

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

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

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

[472] Compactness Framework ofLpApproximate Solutions for Scalar Conservation Laws

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

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

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

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

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

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

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

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

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

[482] On resonances and bound states of Smilansky Hamiltonian

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

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

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

[486] Large oscillations arising from a dispersive numerical scheme

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

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

[489] Generalized hydrodynamics and the classical hydrodynamic limit

[490] Uncertainty principle and regularity for Boltzmann type equations

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

[492] Wave packet dynamics in slowly modulated photonic graphene

[493] Oscillations induced by numerical viscosities

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

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

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

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

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

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

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

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

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

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

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

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

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

[509] Modelling thermal front dynamics in microwave heating

[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 $16\pi$