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

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

[3] Cutoff Boltzmann equation with polynomial perturbation near Maxwellian

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

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

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

[7] Calculus of variations on locally finite graphs

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

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

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

[11] Harnack and mean value inequalities on graphs

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

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

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

[15] Kazdan-Warner equation on graph

[16] Effective fronts of polygon shapes in two dimensions

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

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

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

[20] Effective Fronts of Polytope Shapes

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

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

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

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

[25] Homogenization of randomly deformed conductivity resistant membranes

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

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

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

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

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

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

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

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

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

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

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

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

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

[39] Regularized numerical methods for the logarithmic Schrödinger equation

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

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

[42] The Kinetic Fokker Planck equation with General Force

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

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

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

[46] Conservation-dissipation formalism of irreversible thermodynamics

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

[48] PT symmetry in a fractional Schrödinger equation

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

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

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

[52] 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

[53] Generalized hydrodynamics and the classical hydrodynamic limit

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

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

[56] Wave packet dynamics in slowly modulated photonic graphene

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

[58] Resonances over a potential well in an island

[59] Multiplication in Sobolev spaces, revisited

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[74] Control of eigenfunctions on surfaces of variable curvature

[75] Fu-Yau Hessian equation

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

[77] The weyl problem in warped product spaces

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

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

[80] Zeros of the deformed exponential function

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

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

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

[84] Nonhexagonal lattices from a two species interacting system

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

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

[87] Geometric estimates for complex Monge-Ampere equations

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[111] 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.

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

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

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

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

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

[117] Compactness Framework ofLpApproximate Solutions for Scalar Conservation Laws

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

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

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

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

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

[123] Uncertainty principle and regularity for Boltzmann type equations

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

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

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

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

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

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

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

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

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

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

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

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

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

[137] Existence of stationary solutions to the VlasovPoissonBoltzmann system

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[152] A sharp decay estimate for positive nonlinear waves

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

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

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

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

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

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

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

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

[161] Stability of the one-species VlasovPoissonBoltzmann system

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

[163] Stability of contact discontinuity for the Boltzmann equation

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

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

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

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

[168] On the convergence rate of vanishing viscosity approximations

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

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

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

[172] Cauchy problem for the VlasovPoissonBoltzmann system

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

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

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

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

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

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

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

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

[181] Compressible Euler equations with vacuum

[182] Contact discontinuity with general perturbations for gas motions

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

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

[185] Energy method for Boltzmann equation

[186] L1 stability estimates for n n conservation laws

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

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

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

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

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

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

[193] 1-minimization method for link flow correction

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

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

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

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

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

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

[200] Modelling thermal front dynamics in microwave heating

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[226] Front propagation in heterogeneous media

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[247] Nonlinear Differential Equations in Geometry and Physics.

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

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

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

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

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

[253] Partial differential equations in several complex variables

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

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

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

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

[258] A model of radiational gaseous stars

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

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

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

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

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

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

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

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

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

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

[269] On resonances and bound states of Smilansky Hamiltonian

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

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

[272] Monge-Ampere equation with bounded periodic data

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[297] The dual Orlicz-Minkowski problem

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

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

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

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

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

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

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

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

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

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

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

[309] Curvature estimates for immersed hypersurfaces in Riemannian manifolds

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

[311] Quermassintegral preserving curvature flow in hyperbolic space

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

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

[314] Semiclassical measures on hyperbolic surfaces have full support

[315] Calabi-Yau manifolds with isolated conical singularities

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

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

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

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

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

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

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

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

[324] Some remarks on boundary operators of Bessel extensions

[325] Regularity for a fractional p-Laplace equation

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

[327] Kazdan–Warner equation on graph

[328] Yamabe type equations on graphs

[329] On Singularity Formation of a Nonlinear Nonlocal System

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

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

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

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

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

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

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

[337] Spectral analysis of the subelliptic oblique derivative problem

[338] Invertibility of nonsmooth mappings

[339] A four-dimensional Neumann ovaloid

[340] Hölder regularity for degenerate parabolic obstacle problems

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

[342] A Nonlocal Stokes system with volume constraints

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[357] Evolution of the two dimensional Boussinesq system

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

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

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

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

[362] On a new class of partial differential equations

[363] Optimal Sobolev norms and the Lp Minkowski problem

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

[365] The logarithmic Minkowski problem

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

[367] Spectroscopic imaging of a dilute cell suspension

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

[369] Numerical methods for oscillatory solutions to hyperbolic problems

[370] L1-stability of stationary discrete shocks

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

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

[373] Relaxation and diffusion enhanced dispersive waves

[374] Oscillations induced by numerical viscosities

[375] Large oscillations arising from a dispersive numerical scheme

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

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

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

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

[380] Thin film epitaxy with or without slope selection

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

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

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

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

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

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

[387] Macroscopic fluid modes with localized kinetic upscaling effects

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

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

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

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

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

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

[394] Stable discretization of magnetohydrodynamics in bounded domains

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[412] Flow on sweeping networks

[413] Well-posedness for Hall-magnetohydrodynamics

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[428] Existence Theorems for a Multidimensional Crystal Surface Model

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[447] 2D Homogeneous Solutions to the Euler Equation

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

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

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

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

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

[453] Uniform exponential stability of the Ekman spiral

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

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

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

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

[458] Maximal Marcinkiewicz multipliers

[459] On the Carleson duality

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

[461] Polynomial hulls and proper analytic disks

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

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

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

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

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

[467] Directional Poincaré inequalities along mixing flows

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

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

[470] On improved fractional Sobolev–Poincaré inequalities

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

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

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

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

[475] Homogenization and boundary layers

[476] On the formation of trapped surfaces

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

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

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

[480] Random conformal weldings

[481] A geometric approach to generalized Stokes conjectures

[482] Monge–Ampère equations in big cohomology classes

[483] Wave propagation speed on fractals

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

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

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

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

[488] Uncertain Multilevel Programming: Algorithm and Applications

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

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

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

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

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

[494] Uniform bound and convergence for elliptic homogenization problems

[495] Convergence for elliptic equations in periodic perforated domains

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

[497] Elliptic and parabolic equations in fractured media

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

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

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

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

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

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

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

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

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

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

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

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

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

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