THE CAUCHY PROBLEM ON LARGE TIME FOR SURFACE-WAVES-TYPE BOUSSINESQ SYSTEMS II | |
Saut, Jean-Claude ; Wang, Chao ; Xu, Li | |
2017 | |
关键词 | Bousinesq systems Cauchy problem long time existence NONLINEAR DISPERSIVE MEDIA AMPLITUDE LONG WAVES WATER-WAVES WELL-POSEDNESS INTERNAL WAVES BENJAMIN-ONO EQUATIONS EXISTENCE MODELS PERTURBATIONS |
英文摘要 | This paper is a continuation of a previous work by two of the authors [J.-C. Saut and Li Xu, T. Math. Pures Appl. (9), 97 (2012), pp. 635-662.] on long time existence for Boussinesq systems modeling the propagation of long, weakly nonlinear water waves. We provide proofs on examples not considered in the Sant and Xu paper; in particular, we prove a long time well-posedness result for a delicate "strongly dispersive" Boussinesq system.; ANR project GEODISP; NSF of China [11201455, 11671383]; National Center for Mathematics and Interdisciplinary Sciences; SCI(E); ARTICLE; 4; 2321-2386; 49 |
语种 | 英语 |
出处 | SCI |
出版者 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/475836] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Saut, Jean-Claude,Wang, Chao,Xu, Li. THE CAUCHY PROBLEM ON LARGE TIME FOR SURFACE-WAVES-TYPE BOUSSINESQ SYSTEMS II. 2017-01-01. |
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