期刊
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
卷 32, 期 4, 页码 1901-1939出版社
SPRINGER
DOI: 10.1007/s10884-019-09793-8
关键词
Higher-order Camassa-Holm equation; Peaked solitary wave; Curvature blow-up; Local well-posedness; Wave-breaking
资金
- National Science Foundation of China [11471259, 11631007, 11971251]
- National Science Basic Research Program of Shaanxi [2019JM-007]
This paper is devoted to understanding how higher-order nonlinearities affect the dispersive dynamics. As a prototype, a class of higher-order Camassa-Holm equations which can be viewed as a generalization of the Camassa-Holm equation is studied. The local well-posedness of the Cauchy problem in Besov spaces and Sobolev spaces is established. Furthermore, a delicate analysis is employed to investigate the formation of singularities, and some sufficient conditions on initial data that lead to the finite time blow-up of the second-order derivative of the solutions are provided.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据