Well-posedness of a quasistationary model of a viscous compressible fluid (Q1357999)

The paper deals with the quasistationary approximation to the Navier-Stokes equations for viscous compressible fluids. The existence and uniqueness theorems as well as the exponential stabilization of solutions as \(t\to\infty\) are proved. The pressure is described by an equation of state from a rather broad class, including all normal gases in isotropic flows. The method is based on deriving some a priori estimates for the velocity potential.