Inflow and outflow problems in the half space for a one-dimensional isentropic model system of compressible viscous gas

摘要

In the present short article, we shall introduce our recent results discussed in [8] on large-time behaviors of solutions to the initial boundary value problems in the half space for a one-dimensional isentropic model system of compressible viscous gas. In particular, we focus our attention on inflow(or outflow) problems where the velocity on the boundary is given as a constant inward(or outward) flow, and try to classify all asymptotic behaviors of the solutions. [References: 16]