Existence of solutions of stationary compressible Navier-Stokes equations with large force

In this paper, me consider the Navier-Stokes equations for isentropic, comp ressible flows of a polytropic gas in a bounded domain. The equations to be considered are obtained by scaling to dimensionless form and then replacin g the density rho by <(<rho>)over bar> + epsilon (2)rho, where epsilon is a Mach number. The existence of solutions has been known only for small forc es 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 equ ations with large force, when the Mach number epsilon is small. (C) 2000 Ac ademic Press.