Preprint 2003-024

On the Global Stability of Contact Discontinuity for Compressible Navier-Stokes Equations

Abstract: The asymptotic behavior of the solutions toward the contact discontinuity for the one-dimensional compressible Navier-Stokes equations with a free boundary is investigated. It is shown that the viscous contact discontinuity introduced in [3] is asymptotic stable with arbitrarily large initial perturbation if the adiabatic exponent $\gamma$ is near 1. The case the asymptotic state is given by a combination of viscous contact discontinuity and the rarefaction wave is further investigated. Both the strength of rarefaction wave and the initial perturbation can be arbitrarily large.

Paper:

Available as PostScript (472 Kbytes) or gzipped PostScript (224 Kbytes; uncompress using gunzip).

Author(s):

Feimin Huang, <feiminhuang@hotmail.com>

Huijiang Zhao, <hhjjzhao@hotmail.com>

Publishing information:

To appear in Rendiconti del Seminario matematico dell'Universita' di Padova

Comments:

Submitted by:

<feiminhuang@hotmail.com> April 7 2003.