Strong solutions of the Navier-Stokes equations for isentropic compressible fluids

Hi Jun Choe, Hyunseok Kim

Research output: Contribution to journalArticle

129 Citations (Scopus)

Abstract

We study strong solutions of the isentropic compressible Navier-Stokes equations in a domain Ω⊂R3. We first prove the local existence of unique strong solutions provided that the initial data ρ0 and u0 satisfy a natural compatibility condition. The important point in this paper is that we allow the initial vacuum: the initial density may vanish in an open subset of Ω. We then prove a new uniqueness result and stability result. Our results are valid for unbounded domains as well as bounded ones.

Original languageEnglish
Pages (from-to)504-523
Number of pages20
JournalJournal of Differential Equations
Volume190
Issue number2
DOIs
Publication statusPublished - 2003 May 20

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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