Local well-posedness of a multidimensional shock wave for the steady supersonic isothermal flow  

作　　者：Yuchen Li 

机构地区：[1]Department of Mathematics and Physics, Nanjing Institute of Technology [2]Department of Mathematics & Institute of Mathematical Science, Nanjing University

出　　处：《Science China Mathematics》2018年第3期453-486,共34页中国科学：数学（英文版）

基　　金：supported by Scientific Research Fund of Nanjing Institute of Technology (Grant No.YKJ201339);National Natural Science Foundation of China (Grant Nos.11371189 and 11101190);the Priority Academic Program Development of Jiangsu Higher Education Institutions

摘　　要：In this paper, we prove the local existence, uniqueness and stability of a supersonic shock for the supersonic isothermal incoming flow past a curved cone. Major difficulties include constructing an appropriate solution and treatincg the Neumann boundary conditions and local stability condition.In this paper, we prove the local existence, uniqueness and stability of a supersonic shock for the supersonic isothermal incoming flow past a curved cone. Major difficulties include constructing an appropriate solution and treatincg the Neumann boundary conditions and local stability condition.

关 键 词：steady potential equation isothermal gas supersonic flow multidimensional conic shock local well-posedness local stability condition 

分 类 号：O354[理学—流体力学]