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 …

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 …

This paper concerns the existence of global weak solutions to the barotropic compressible
Navier-Stokes equations with degenerate viscosity coefficients. We construct suitable …

We consider Navier–Stokes equations for compressible viscous fluids in one dimension. It is
a well-known fact that if the initial datum are smooth and the initial density is bounded by …

In this paper we consider the Quantum Navier–Stokes system both in two and in three space
dimensions and prove the global existence of finite energy weak solutions for large initial …

The present note extends to smooth enough bounded domains recent results about
barotropic compressible Navier–Stokes systems with density dependent viscosity …