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 language | English |
|---|---|
| Pages (from-to) | 54-88 |
| Number of pages | 35 |
| Journal | Journal of Functional Analysis |
| Volume | 177 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2000 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Analysis
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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 journal › Article
TY - JOUR
T1 - Existence of solutions of stationary compressible navier-stokes equations with large force
AU - Choe, Hi Jun
AU - Jin, Bum Ja
PY - 2000/1/1
Y1 - 2000/1/1
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0042995426&partnerID=8YFLogxK
U2 - 10.1006/jfan.2000.3639
DO - 10.1006/jfan.2000.3639
M3 - Article
AN - SCOPUS:0042995426
VL - 177
SP - 54
EP - 88
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
SN - 0022-1236
IS - 1
ER -