On uniqueness of the static state for a general compressible fluid

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Abstract

The system describing a thermodynamic equilibrium of a general compressible fluid in a potential field is studied. It is shown that there is a unique solution of this system in the class {θ>0;ρ∈L1(Ω), ρ≥0a.e.} A general physically relevant constitutive function for the pressure is considered assuming just two additional conditions, namely that the pressure grows in ρ at least as ρ1-1/N and it behaves like a linear function as ρ→0.

Original languageEnglish
Pages (from-to)188-195
Number of pages8
JournalNonlinear Analysis, Theory, Methods and Applications
Volume64
Issue number1
DOIs
Publication statusPublished - Jan 1 2006
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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