Planar Waves of the Buffered Bistable System
| Autor: | Xiaohuan Wang, Guangying Lv |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Abstract and Applied Analysis, Vol 2013 (2013) |
| Druh dokumentu: | article |
| ISSN: | 1085-3375 1687-0409 |
| DOI: | 10.1155/2013/936296 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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