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

Feimin Huang and Huijiang Zhao

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