5 papers
Density dependent viscosity for the Poisson-Nernst-Planck-Compressible Navier-Stokes system
Didier Bresch, Maria Kazakova, Charlotte Tonnelier
This paper is dedicated to the global existence of entropy weak solutions for the Poisson-Nernst-Planck-Compressible Navier-Stokes system in a periodic domain d when the shear…
Dissipative Solutions to a Compressible Non-Newtonian Korteweg System with Density-Dependent Viscous Stress Tensor
Didier Bresch, Christophe Lacave, Maja Szlenk
The main objective of this paper is to prove that if capillarity effect is taken into account then there exist dissipative solutions to a system describing viscoplastic compressibl…
Global weak solutions of the Navier-Stokes-Korteweg Equations in one dimension
Paolo Antonelli, Didier Bresch, Stefano Spirito
We prove the global existence of weak solutions of the one-dimensional Navier-Stokes-Korteweg (NSK) equations when the viscosity and the capillarity coefficients are power function…
Weak Solutions for the Stationary Anisotropic and Nonlocal Compressible Navier-Stokes System
D. Bresch, Cosmin Burtea
In this paper, we prove global existence of weak solutions for the stationary compressible Navier-Stokes equations with an anisotropic and nonlocal viscous term in a periodic domai…
A compressible multifluid system with new physical relaxation terms
D Bresch, M Hillairet
In this paper, we rigorously derive a new compressible multifluid system from compressible Navier-Stokes equations with density-dependent viscosity in the one-dimensional in space…