Communications in Mathematical Sciences

Global existence and large time behavior of strong solutions for nonhomogeneous heat conducting Navier–Stokes equations with large initial data and vacuum

Global regularity and time decay for the 2D magneto-micropolar system with fractional dissipation and partial magnetic diffusion

Lack of exact controllability of a higher-order BBM system

Initial mixed-boundary value problem for anisotropic fractional degenerate parabolic equations

Zero dissipation limit problem of 1-D Navier–Stokes equations

On two-dimensional steady hypersonic-limit Euler flows passing ramps and radon measure solutions of compressible Euler equations

Spectral structure of electromagnetic scattering on arbitrarily shaped dielectrics

Universal approximation of symmetric and anti-symmetric functions

Discrete maximum principle of a high order finite difference scheme for a generalized Allen–Cahn equation

Global strong solution to the cauchy problem of 2D density-dependent Boussinesq equations for magnetohydrodynamics convection with thermal diffusion

Low Mach number limit of the full compressible mhd equations with Cattaneo’s heat transfer law

Stability of large amplitude viscous shock wave for 1-D isentropic Navier–Stokes system in the half space