Estimates for the KdV-Limit of the Camassa-Holm equation

被引：4
|
作者：
Kunze, M [1 ]
Schneider, G
机构：
[1] Univ Duisburg essen, Fachbereich Math, D-45117 Essen, Germany
[2] Univ Karlsruhe, Inst Math 1, D-76128 Karlsruhe, Germany
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2005年 / 72卷 / 01期
关键词：
Camassa-Holm equation; KdV equation; water wave problem; scaling limit; energy estimates;
D O I：
10.1007/s11005-005-1450-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In a number of scaling limits, we prove estimates relating the solutions of the Camassa-Holm equation to the solutions of the associated KdV equation. As a consequence, suitable solutions of the water wave problem and solutions of the Camassa-Holm equation stay close together for long times.
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页码：17 / 26
页数：10
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