摘要
主要研究在k=2的情况下高阶Camassa-Holm方程解的爆破性质.首先,通过一系列的先验估计建立了一个新的爆破准则,并且给出了精确的爆破速率;然后,利用Holder不等式、Sobolev不等式和闭集的相关性质给定在新爆破准则下的爆破点集.
The properties of solutions to the second-order Camassa-Holm equation in the case of k= 2 are investigated. A new blow-up criteria and the precise blow-up rate are established. By employing the Sobolev embedding theory, Holder inequal-ity and closed set properties？a closed blow-up set with new blow-up criteria is obtained.
出处
《河南师范大学学报（自然科学版）》
CAS
北大核心
2017年第3期65-69,共5页
Journal of Henan Normal University(Natural Science Edition)
基金
国家自然科学基金(1371175)
