数学物理学报(英文版) ›› 1999, Vol. 19 ›› Issue (1): 26-36.

• 论文 • 上一篇    下一篇

THE NONLINEAR STABILITY OF TRAVELLING WAVE SOLUTIONS FOR A REACTING FLOW MODEL WITH SOURCE TERM

 潘荣华   

  1. Insititue of Mathmatics, Academia Sinica, Beijing 100080 China
  • 收稿日期:1996-12-27 出版日期:1999-03-02 发布日期:1999-03-02

THE NONLINEAR STABILITY OF TRAVELLING WAVE SOLUTIONS FOR A REACTING FLOW MODEL WITH SOURCE TERM

 BO Rong-Hua   

  1. Insititue of Mathmatics, Academia Sinica, Beijing 100080 China
  • Received:1996-12-27 Online:1999-03-02 Published:1999-03-02

摘要:

In this paper, author considers a 3 × 3 system for a reacting flow model
propesed by [9]. Since this model has source term, it can be considered as a relaxation
approximation to 2×2 systemsof conservation laws, which include the well-known p-system.
From this viewpoint, the author establishes the global existence and the nonlinear stability
of travelling wave solutions by L2 energy method

关键词: Nonlinear stability, travelling wave solution, reacting flow, relaxation, energy
estimate.

Abstract:

In this paper, author considers a 3 × 3 system for a reacting flow model
propesed by [9]. Since this model has source term, it can be considered as a relaxation
approximation to 2×2 systemsof conservation laws, which include the well-known p-system.
From this viewpoint, the author establishes the global existence and the nonlinear stability
of travelling wave solutions by L2 energy method

Key words: Nonlinear stability, travelling wave solution, reacting flow, relaxation, energy
estimate.

中图分类号: 

  • 35C