Compressible Navier–Stokes system with hard sphere pressure law and general inflow–outflow boundary conditions

H. J. Choe, A. Novotný, M. Yang

Research output: Contribution to journalArticle

Abstract

We prove the existence of a weak solution to the compressible Navier–Stokes system with hard sphere possibly non-monotone pressure law involving, in particular, the Carnahan–Starling model [2] largely employed in various physical and industrial applications. We take into account large velocities prescribed at the boundary of a bounded piecewise C2 domain and large densities prescribed at the inflow boundary without any restriction neither on the shape of the inflow/outflow boundaries nor on the shape of the domain.

Original languageEnglish
Pages (from-to)3066-3099
Number of pages34
JournalJournal of Differential Equations
Volume266
Issue number6
DOIs
Publication statusPublished - 2019 Mar 5

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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