Communications in Mathematical Sciences

Models of nonlinear acoustics viewed as an approximation of the Navier–Stokes and Euler compressible isentropic systems

On the existence of weak solutions to non-local Cahn–Hilliard/Navier–Stokes equations and its local asymptotics

Operator splitting based central-upwind schemes for shallow water equations with moving bottom topography

The unique global solvability of multi-dimensional compressible Navier–Stokes–Poisson–Korteweg model

Stability of a composite wave of viscous contact wave and rarefaction waves for radiative and reactive gas without viscosity

On stationary solutions to normal, coplanar discrete Boltzmann equation models

Nonlinear stability of the boundary layer and rarefaction wave for the inflow problem governed by the heat-conductive ideal gas without viscosity

Lower bounds of blow up solutions in $\dot{H}^1_p (\mathbb{R}^3)$ of the Navier–Stokes equations and the quasi-geostrophic equation

Sampling from rough energy landscapes

A new deviational asymptotic preserving Monte Carlo method for the homogeneous Boltzmann equation

A jump stochastic differential equation approach for influence prediction on heterogenous networks