数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (1): 104-112.

• 论文 • 上一篇    下一篇

GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF SOLUTION TO REACTING FLOW MODEL WITH BOUNDARY EFFECT

 李海梁   

  1. Insititute of Mathematic, Academia Sinica, Beijing 100080, China
  • 出版日期:2000-01-07 发布日期:2000-01-07

GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF SOLUTION TO REACTING FLOW MODEL WITH BOUNDARY EFFECT

 LI Hai-Liang   

  1. Insititute of Mathematic, Academia Sinica, Beijing 100080, China
  • Online:2000-01-07 Published:2000-01-07

摘要:

The initial boundary value problem (IBVP) for the 3×3 hyperbolic system of reacting flow with source term proposed by R.J.LeVeque and others (see [8]) is considered.It is shown, in the present paper, that if the initial data are a suitable perturbation of a shifted shock profile which is suitably away from the boundary, then there exists a unique smooth solution in R2 + to the IBVP of the 3×3 hyperbolic system, which tends to another shifted shock profile of this system as t −! 1.

关键词: Initial boundary value, relaxaction, reacting flow, global existence, large time behavior

Abstract:

The initial boundary value problem (IBVP) for the 3×3 hyperbolic system of reacting flow with source term proposed by R.J.LeVeque and others (see [8]) is considered.It is shown, in the present paper, that if the initial data are a suitable perturbation of a shifted shock profile which is suitably away from the boundary, then there exists a unique smooth solution in R2 + to the IBVP of the 3×3 hyperbolic system, which tends to another shifted shock profile of this system as t −! 1.

Key words: Initial boundary value, relaxaction, reacting flow, global existence, large time behavior

中图分类号: 

  • 35L45