Vanishing viscosity limit for the compressible Navier-Stokes equations with non-linear density dependent viscosities

2024/06/25 by Bisconti, Luca, Caggio, Matteo, Dell'Oro, Filippo · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.17478

Abstract

In a three-dimensional bounded domain Ω we consider the compressible Navier-Stokes equations for a barotropic fluid with general non-linear density dependent viscosities and no-slip boundary conditions. A nonlinear drag term is added to the momentum equation. We establish two conditional Kato-type criteria for the convergence of the weak solutions to such a system towards the strong solution of the compressible Euler system when the viscosity coefficient and the drag term parameter tend to zero.

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