Constantin-Lannes方程的波破准则

Wave-breaking for the Constantin-Lannes equation

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.