Constantin-Lannes方程的波破准则
Wave-breaking for the Constantin-Lannes equation
姚文星 1魏龙1
作者信息
- 1. 杭州电子科技大学理学院,杭州 310018
- 折叠
摘要
研究Constantin-Lannes方程的波破准则.利用Young不等式、Sobolev不等式及方程对应的能量守恒,推出解的先验估计;然后借助于Riccati型不等式得到CL方程解的爆破条件,该结果改进了 CL方程最新爆破条件的主要结论.
Abstract
A wave-breaking criterion for the Constantin-Lannes equation is studied.Firstly,a priori estimates of the solution of the CL equation is given by using Young's inequality,Sobolev's inequality and the conservation of energy;then a blow-up result for the solution is obtained with the help of the Riccati-type inequality,and the result improves the main conclusions of the latest blow-up conditions for the CL equation.
关键词
Constantin-Lannes方程/波破/先验估计Key words
Constantin-Lannes equation/wave-breaking/a priori estimate引用本文复制引用
出版年
2024
NETL
NSTL
万方数据