STABILITY OF TIME-PERIODIC TRAVELING FRONTS IN BISTABLE REACTION-ADVECTION-DIFFUSION EQUATIONS

doi:10.1016/S0252-9602(16)30041-8

Abstract

Abstract:

This paper is concerned with the global exponential stability of time periodic traveling fronts of reaction-advection-diffusion equations with time periodic bistable nonlinearity in infinite cylinders. It is well known that such traveling fronts exist and are asymptotically stable. In this paper, we further show that such fronts are globally exponentially stable. The main difficulty is to construct appropriate supersolutions and subsolutions.

Key words: stability, reaction-advection-diffusion equations, bistable, time periodic traveling fronts

CLC Number:

35B35

Weijie SHENG. STABILITY OF TIME-PERIODIC TRAVELING FRONTS IN BISTABLE REACTION-ADVECTION-DIFFUSION EQUATIONS[J].Acta mathematica scientia,Series B, 2016, 36(3): 802-814.

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