arXiv Analytics

Sign in

arXiv:1410.4952 [math.AP]AbstractReferencesReviewsResources

Remarks on the inviscid limit for the compressible flows

Claude Bardos, Toan T. Nguyen

Published 2014-10-18Version 1

We establish various criteria, which are known in the incompressible case, for the validity of the inviscid limit for the compressible Navier-Stokes flows considered in a general domain $\Omega$ in $\mathbb{R}^n$ with or without a boundary. In the presence of a boundary, a generalized Navier boundary condition for velocity is assumed, which in particular by convention includes the classical no-slip boundary conditions. In this general setting we extend the Kato criteria and show the convergence to a solution which is dissipative "up to the boundary". In the case of smooth solutions, the convergence is obtained in the relative energy norm.

Comments: Dedicated to Professor Hugo Beira\~o da Veiga
Categories: math.AP
Related articles: Most relevant | Search more
arXiv:1508.07118 [math.AP] (Published 2015-08-28)
The inviscid limit for the Landau-Lifshitz equations
arXiv:1911.08978 [math.AP] (Published 2019-11-20)
Stability of equilibria uniformly in the inviscid limit for the Navier-Stokes-Poisson system
arXiv:2312.17520 [math.AP] (Published 2023-12-29)
Navier-Stokes/Cahn-Hilliard equations with generalized Navier boundary condition and relaxation boundary condition