Compressible Navier-Stokes equations with heterogeneous pressure laws

Didier Bresch, Pierre Emmanuel Jabin, Fei Wang

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

This paper concerns the existence of global weak solutions la Leray for compressible Navier-Stokes equations with a pressure law which depends on the density and on time and space variables t and x. The assumptions on the pressure contain only locally Lipschitz assumption with respect to the density variable and some hypothesis with respect to the extra time and space variables. It may be seen as a first step to consider heat-conducting Navier-Stokes equations with physical laws such as the truncated virial assumption. The paper focuses on the construction of approximate solutions through a new regularized and fixed point procedure and on the weak stability process taking advantage of the new method introduced by the two first authors with a careful study of an appropriate regularized quantity linked to the pressure.

Original languageEnglish (US)
Pages (from-to)4115-4162
Number of pages48
JournalNonlinearity
Volume34
Issue number6
DOIs
StatePublished - Jun 2021

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics

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