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

✍ Scribed by Akitaka Matsumura

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 517 KB
• Volume: 47
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(01)00542-9

✦ Synopsis

In the present short article, we shall introduce our recent results discussed in ([\mathrm{r} \mid) 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.