Nonlinear geometric optics for contact discontinuities and shock waves in one-dimensional Euler system for gas dynamics

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:229

Article

Peng, Yahong ; Wang, Ya-Guang

关键词: nonlinear geometric optics;    conservation laws;    shock wave;    contact discontinuity;   

DOI  :  10.1016/j.jde.2006.03.002

来源: Elsevier

【 摘 要 】

The aim of this paper is to study the rigorous theory of nonlinear geometric optics for a contact discontinuity and a shock wave to the Euler system for one-dimensional gas dynamics. For the problem of a contact discontinuity and a shock wave perturbed by a small amplitude, high frequency oscillatory wave train, under suitable stability assumptions, we obtain that the perturbed problem has still a shock wave and a contact discontinuity, and we give their asymptotic expansions. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free