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Existence of Solutions of Stationary Compressible Navier–Stokes Equations with Large Force

✍ Scribed by Hi Jun Choe; Bum Ja Jin

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
289 KB
Volume
177
Category
Article
ISSN
0022-1236

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✦ Synopsis

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 \ by \Ä += 2 , where = 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 = is small.

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