Blow-up of solution of an initial boundary value problem for a generalized Camassa–Holm equation
- 作者：Jiangbo Zhou ; Lixin Tian
- 关键词：Generalized Camassa– ; Holm equation ; Initial boundary value problem ; Blow up
- 刊名：Physics Letters A
- 出版年：2008
- 期刊代码：57_03759601
- 类别：ph
- 出版时间：12 May 2008
- 卷：372
- 期：20
- 页码：3659-3666
- 文件大小：155 K
摘要
In this Letter, we study the following initial boundary value problem for a generalized Camassa–Holm equation
where k is a real constant. We establish local well-posedness of this closed-loop system by using Kato's theorem for abstract quasilinear evolution equation of hyperbolic type. Then, by using multiplier technique, we obtain a conservation law which enable us to present a blow-up result.
where k is a real constant. We establish local well-posedness of this closed-loop system by using Kato's theorem for abstract quasilinear evolution equation of hyperbolic type. Then, by using multiplier technique, we obtain a conservation law which enable us to present a blow-up result.