VANISHING VISCOSITY FOR NON-ISENTROPIC GAS DYNAMICS WITH INTERACTING SHOCKS

doi:10.1016/S0252-9602(16)30100-X

Abstract

Abstract:

In this paper, we study the vanishing viscosity limit for non-isentropic gas dynamics with interacting shocks. Given any entropy solution of non-isentropic gas dynamics which consists of two different families of shocks interacting at some positive time, we show that such solution is the vanishing viscosity limit of a family of smooth global solutions for a viscous system of conservation law. We remark that, after the interacting time, not only shocks but also contact discontinuity are generated.

Key words: vanishing viscosity, non-isentropic gas dynamics, interacting shock, contact discontinuity

CLC Number:

35Q31

Xiaoding SHI, Yan YONG, Yinglong ZHANG. VANISHING VISCOSITY FOR NON-ISENTROPIC GAS DYNAMICS WITH INTERACTING SHOCKS[J].Acta mathematica scientia,Series B, 2016, 36(6): 1699-1720.

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