Well-posedness of a modified initial-boundary value problem on stability of shock waves in a viscous gas. II (Q879127)

The authors consider the linear initial-boundary-value problem which decribes the motion of continuous media. It is obtained by modifying the system of the Navier-Stokes equations for the compressible fluid together with the Gibbs relation [see part I, J. Math. Anal. Appl. 331, No. 1, 408--423 (2007; Zbl 1117.35045)]. The authors prove the suggestion made in the first part about the asymptotic Lyapunov stability of the steady-state solution to the problem under two conditions. The main result is that zeros of the Lopatinsky determinant lie in the left half-plane.