On uniqueness of the static state for a general compressible fluid

Jan Březina

doi:10.1016/j.na.2005.05.040

On uniqueness of the static state for a general compressible fluid

Jan Březina

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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 language	English
Pages (from-to)	188-195
Number of pages	8
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	64
Issue number	1
DOIs	https://doi.org/10.1016/j.na.2005.05.040
Publication status	Published - Jan 1 2006
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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