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
Y1 - 2000
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+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.
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+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.
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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 -