3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2025
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…