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+ε2ρ, 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 language | English |
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Pages (from-to) | 54-88 |
Number of pages | 35 |
Journal | Journal of Functional Analysis |
Volume | 177 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2000 |
Bibliographical note
Funding Information:The authors thank Professor A. Matsumura for helpful discussions. The first author was supported by KOSEF, GARC-RIM and KRF.
All Science Journal Classification (ASJC) codes
- Analysis