VANISHING VISCOSITY FOR NON-ISENTROPIC GAS DYNAMICS WITH INTERACTING SHOCKS

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

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (6): 1699-1720.doi: 10.1016/S0252-9602(16)30100-X

VANISHING VISCOSITY FOR NON-ISENTROPIC GAS DYNAMICS WITH INTERACTING SHOCKS

施小丁¹, 雍燕², 张英龙³

1. School of Science, Beijing University of Chemical Technology, Beijing 100029, China;
2. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;
3. Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

收稿日期:2015-06-03 修回日期:2016-05-02 出版日期:2016-12-25 发布日期:2016-12-25
作者简介:Xiaoding SHI,E-mail:shixd@mail.buct.edu.cn;Yan YONG,E-mail:yongyan@usst.edu.cn;Yinglong ZHANG,E-mail:yinglongzhang@amss.ac.cn
基金资助:
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).

VANISHING VISCOSITY FOR NON-ISENTROPIC GAS DYNAMICS WITH INTERACTING SHOCKS

Xiaoding SHI¹, Yan YONG², Yinglong ZHANG³

1. School of Science, Beijing University of Chemical Technology, Beijing 100029, China;
2. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;
3. Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

Received:2015-06-03 Revised:2016-05-02 Online:2016-12-25 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).

摘要/Abstract

摘要：

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.

关键词: vanishing viscosity, non-isentropic gas dynamics, interacting shock, contact discontinuity

Abstract:

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

中图分类号:

35Q31

施小丁, 雍燕, 张英龙. VANISHING VISCOSITY FOR NON-ISENTROPIC GAS DYNAMICS WITH INTERACTING SHOCKS[J]. 数学物理学报(英文版), 2016, 36(6): 1699-1720.

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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VANISHING VISCOSITY FOR NON-ISENTROPIC GAS DYNAMICS WITH INTERACTING SHOCKS

VANISHING VISCOSITY FOR NON-ISENTROPIC GAS DYNAMICS WITH INTERACTING SHOCKS

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