In this paper, we considerably extend the results on global existence of entropy-weak
solutions to the compressible Navier–Stokes system with density dependent viscosities …

We prove the uniqueness and stability of entropy shocks to the isentropic Euler systems
among all vanishing viscosity limits of solutions to associated Navier–Stokes systems. To …

This paper is dedicated to the construction of a pseudo-norm for which small shockprofiles of
the barotropic Navier–Stokes equations have a contraction property. This contraction …

We develop a method of obtaining a hierarchy of new higher-order entropies in the context
of compressible models with local and nonlocal diffusion and isentropic pressure. The local …

In this paper, we propose a new viscosity for a coupled compressible Navier–Stokes/Allen–
Cahn system because it describes the motion of a gas in a flowing liquid. The viscosity …

Abstract We study the Aw-Rascle system in a one-dimensional domain with periodic
boundary conditions, where the offset function is replaced by the gradient of the function ρ n …

In this paper we prove the existence of a unique global strong solution for the Cauchy
problem associated to the one dimensional Navier–Stokes equations with general …

In this study, we analyse the famous Aw–Rascle system in which the difference between the
actual and the desired velocities (the offset function) is a gradient of a singular function of the …

We introduce the notion of duality solution for the hard-congestion model on the real line,
and additionally prove an existence result for this class of solutions. Our study revolves …

This paper is concerned with a one-dimensional isentropic compressible Navier-Stokes-
Allen-Cahn system with density-dependent viscosity, which models the motion of a mixture …