In this paper,we study a kind of 2-dimensional axi-symmetrical piston problem in com- pressible flow.The corresponding mathematical model is the well-known Euler system.With the Newton iteration procedure and energy e...In this paper,we study a kind of 2-dimensional axi-symmetrical piston problem in com- pressible flow.The corresponding mathematical model is the well-known Euler system.With the Newton iteration procedure and energy estimate,we give the local existence of the shock front solution to this problem.展开更多
基金Supported partially by NSFC Project 10131050 and NSFC Project 10271108
文摘In this paper,we study a kind of 2-dimensional axi-symmetrical piston problem in com- pressible flow.The corresponding mathematical model is the well-known Euler system.With the Newton iteration procedure and energy estimate,we give the local existence of the shock front solution to this problem.