Acta mathematica scientia, Series B >
VANISHING VISCOSITY FOR NON-ISENTROPIC GAS DYNAMICS WITH INTERACTING SHOCKS
Received date: 2015-06-03
Revised date: 2016-05-02
Online published: 2016-12-25
Supported by
The work of Xiaoding Shi was supported by National Natural Sciences Foundation of China (11471321). The work of Yan Yong was supported by National Natural Sciences Foundation of China (11201301).
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.
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 . DOI: 10.1016/S0252-9602(16)30100-X
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