数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (3): 681-689.doi: 10.1016/S0252-9602(15)30013-8

• 论文 • 上一篇    下一篇

THE PROBLEM FOR THE SUPERSONIC PLANE FLOW PAST A CURVED WEDGE

王丽   

  1. Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 201306, China
  • 收稿日期:2014-04-30 修回日期:2014-07-30 出版日期:2015-05-01 发布日期:2015-05-01
  • 基金资助:

    Supported by the TianYuan Special Funds of the National Natural Science Foundation of China (11226171), discipline construction of equipment manufacturing system optimization calculation (13XKJC01), NSFC Project 11101375, and Natural Science Foundation of Zhejiang Province under Grant (LY14A010010).

THE PROBLEM FOR THE SUPERSONIC PLANE FLOW PAST A CURVED WEDGE

Li WANG   

  1. Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 201306, China
  • Received:2014-04-30 Revised:2014-07-30 Online:2015-05-01 Published:2015-05-01
  • Supported by:

    Supported by the TianYuan Special Funds of the National Natural Science Foundation of China (11226171), discipline construction of equipment manufacturing system optimization calculation (13XKJC01), NSFC Project 11101375, and Natural Science Foundation of Zhejiang Province under Grant (LY14A010010).

摘要:

The problem for the supersonic plane flow described by TSD equation past a curved wedge is considered. For a given curved wedge, we will determine the corresponding shock and the solution behind the shock. Moreover, under suitable assumptions, we obtain the global existence and uniqueness for the above mentioned problem.

关键词: TSD equation, shock, free boundary problem

Abstract:

The problem for the supersonic plane flow described by TSD equation past a curved wedge is considered. For a given curved wedge, we will determine the corresponding shock and the solution behind the shock. Moreover, under suitable assumptions, we obtain the global existence and uniqueness for the above mentioned problem.

Key words: TSD equation, shock, free boundary problem

中图分类号: 

  • 35L65