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

Hi Jun Choe, Bum Ja Jin

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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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All Science Journal Classification (ASJC) codes

  • Analysis

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