Constantin-Lannes方程的波破准则  

Wave-breaking for the Constantin-Lannes equation

作　　者：姚文星 魏龙[1] YAO Wenxing;WEI Long(School of Sciences,Hangzhou Dianzi University,Hangzhou 310018)

机构地区：[1]杭州电子科技大学理学院,杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2024年第5期81-85,共5页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：浙江省自然科学基金项目(LY21A01008)。

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。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 

分 类 号：O175.2[理学—数学]