Existence of solutions of stationary compressible navier-stokes equations with large force

Hi Jun Choe, Bum Ja Jin

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

In this paper, we consider the Navier-Stokes equations for isentropic, compressible flows of a polytropic gas in a bounded domain. The equations to be considered are obtained by scaling to dimensionless form and then replacing the density ρ by ρ+ε 2 ρ, where ε is a Mach number. The existence of solutions has been known only for small forces or large potential forces near a rest state. The aim of this paper is to give a proof of the existence of stationary compressible Navier-Stokes equations with large force, when the Mach number ε is small.

Original languageEnglish
Pages (from-to)54-88
Number of pages35
JournalJournal of Functional Analysis
Volume177
Issue number1
DOIs
Publication statusPublished - 2000 Jan 1

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Compressible Navier-Stokes Equations
Existence of Solutions
Compressible Flow
Dimensionless
Bounded Domain
Navier-Stokes Equations
Scaling

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

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Existence of solutions of stationary compressible navier-stokes equations with large force. / Choe, Hi Jun; Jin, Bum Ja.

In: Journal of Functional Analysis, Vol. 177, No. 1, 01.01.2000, p. 54-88.

Research output: Contribution to journalArticle

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