Viscous shock wave and boundary layer solution to an inflow problem for compressible viscous gas

摘要

The inflow problem for a one-dimensional compressible viscous gas on the half line (0,+infinity) is investigated. The asymptotic stability on both the viscous shock wave and a superposition of the viscous shock wave and the boundary layer solution is established under some smallness conditions. The proofs are given by an elementary energy method. [References: 15]