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 |
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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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| _version_ | 1832563527653523456 |
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| author | Xiaohuan Wang Guangying Lv |
| author_facet | Xiaohuan Wang Guangying Lv |
| author_sort | Xiaohuan Wang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e0e361e230ef4f20b31b30d067ad2752 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e0e361e230ef4f20b31b30d067ad27522025-02-03T01:20:05ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/936296936296Planar Waves of the Buffered Bistable SystemXiaohuan Wang0Guangying Lv1College of Mathematics and Information Science, Henan University, Kaifeng 475001, ChinaCollege of Mathematics and Information Science, Henan University, Kaifeng 475001, ChinaThis 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.http://dx.doi.org/10.1155/2013/936296 |
| spellingShingle | Xiaohuan Wang Guangying Lv Planar Waves of the Buffered Bistable System Abstract and Applied Analysis |
| title | Planar Waves of the Buffered Bistable System |
| title_full | Planar Waves of the Buffered Bistable System |
| title_fullStr | Planar Waves of the Buffered Bistable System |
| title_full_unstemmed | Planar Waves of the Buffered Bistable System |
| title_short | Planar Waves of the Buffered Bistable System |
| title_sort | planar waves of the buffered bistable system |
| url | http://dx.doi.org/10.1155/2013/936296 |
| work_keys_str_mv | AT xiaohuanwang planarwavesofthebufferedbistablesystem AT guangyinglv planarwavesofthebufferedbistablesystem |