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

作者：Peng, Yahong^*; Wang, Ya Guang

来源：Journal of Differential Equations, 2006, 229(1): 317-352.

DOI：10.1016/j.jde.2006.03.002

• nonlinear geometric optics
• conservation laws
• shock wave
• contact discontinuity

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.

• 出版日期2006-10-1
• 单位东华大学; 上海交通大学