Acta mathematica scientia,Series B ›› 1999, Vol. 19 ›› Issue (1): 26-36.

• Articles • Previous Articles     Next Articles

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

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.

CLC Number: 

  • 35C
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