[451] Compactness Framework ofLpApproximate Solutions for Scalar Conservation Laws

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

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

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

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

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

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

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

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

[460] The Kinetic Fokker Planck equation with General Force

[461] On resonances and bound states of Smilansky Hamiltonian

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

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

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

[465] Homogenization of randomly deformed conductivity resistant membranes

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

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

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

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

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

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

[472] Oscillations induced by numerical viscosities

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

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

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