Atmospheric flows feature length scales from 10− 5 to 105 m and timescales from
microseconds to weeks or more. For scales above several kilometers and minutes, there is a …

We present multicomponent flow models derived from the kinetic theory of gases and
investigate the symmetric hyperbolic-parabolic structure of the resulting system of partial …

In this paper, we prove the existence of global weak solutions for 3D compressible Navier–
Stokes equations with degenerate viscosity. The method is based on the Bresch and …

We consider barotropic compressible Navier–Stokes equations with density dependent
viscosity coefficients that vanish on vacuum. We prove the stability of weak solutions in …

The purpose of this work is to investigate the problem of global in time existence of
sequences of weak solutions to the Navier–Stokes equations for viscous compressible and …

Résumé Considering the three-dimensional Navier–Stokes equations with a free moving
surface boundary condition and hydrostatic approximation, we study the derivation, with …

These notes are devoted to the study of some problems related to shallow-water equations.
In particular, we will review results from derivations of shallow-water systems which depend …

Weak and strong solutions for the incompressible Navier–Stokes equations with dam**
Page 1 J. Math. Anal. Appl. 343 (2008) 799–809 www.elsevier.com/locate/jmaa Weak and …

Abstract The Navier-Stokes systems for compressible fluids with density-dependent
viscosities are considered in the present paper. These equations, in particular, include the …

The global-in-time existence of weak solutions to the barotropic compressible quantum
Navier–Stokes equations in a three-dimensional torus for large data is proved. The model …