Planar Waves of the Buffered Bistable System

Xiaohuan Wang and Guangying Lv

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: This paper is concerned with the large time behavior of disturbed planar fronts in the buffered bistable system in ℝn (n ≥ 2). We first show that the large time behavior of the disturbed fronts can be approximated by that of the mean curvature flow with a drift term for all large time up to t = +∞. And then we prove that the planar front is asymptotically stable in L∞(ℝn) under ergodic perturbations, which include quasiperiodic and almost periodic ones as special cases.

Date: 2013
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https://doi.org/10.1155/2013/936296

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:936296

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