VANISHING VISCOSITY FOR NON-ISENTROPIC GAS DYNAMICS WITH INTERACTING SHOCKS  

作　　者：施小丁 雍燕 张英龙 

机构地区：[1]School of Science,Beijing University of Chemical Technology [2]College of Science,University of Shanghai for Science and Technology [3]Institute of Applied Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences

出　　处：《Acta Mathematica Scientia》2016年第6期1699-1720,共22页数学物理学报（B辑英文版）

基　　金：Xiaoding Shi was supported by National Natural Sciences Foundation of China(11471321);Yan Yong was supported by National Natural Sciences Foundation of China(11201301)

摘　　要：In this paper, we study the vanishing viscosity limit for non-isentropic gas dy- namics 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.In this paper, we study the vanishing viscosity limit for non-isentropic gas dy- namics 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 contactdiscontinuity 

分 类 号：O35[理学—流体力学]