Preprint 2002-032

Viscous Shock Wave and Boundary Layer Solution to an Inflow Problem for Compressible Viscous Gas

Abstract: The inflow problem for a one-dimensional compressible viscous gas on the half line (0,+$\infty)$ 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.

Paper:

Available as PostScript (336 Kbytes) or gzipped PostScript (128 Kbytes; uncompress using gunzip).

Author(s):

Feimin Huang, <fhuang@math.sci.osaka-u.ac.jp>

Akiataka Matsumura, <akiataka@math.sci.osaka-u.ac.jp>

Xiaoding Shi, <shixd@math.sci.osaka-u.ac.jp>

Publishing information:

Submitted to Comm.Math.Phys.

Comments:

Submitted by:

<fhuang@math.sci.osaka-u.ac.jp> June 13 2002.