Remarks on the inviscid limit for the compressible flows

Claude Bardos, Toan T. Nguyen

Research output: Chapter in Book/Report/Conference proceedingChapter

7 Scopus citations


We establish various criteria, known in the incompressible case, for the validity of the inviscid limit for the compressible Navier-Stokes flows considered in a general domain Ω in ℝn with or without a boundary. In the presence of a boundary, a generalized Navier boundary condition for velocity is assumed, which includes the classical no-slip boundary conditions. In this general setting we extend the Kato criteria and show the convergence to a solution “dissipative up to the boundary”.

Original languageEnglish (US)
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Number of pages13
StatePublished - 2016

Publication series

NameContemporary Mathematics
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

All Science Journal Classification (ASJC) codes

  • General Mathematics


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