Planar Waves of the Buffered Bistable System
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/936296 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |