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Constantin-Lannes方程的波破准则

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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.
Wave-breaking for the Constantin-Lannes equation
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.

Constantin-Lannes equationwave-breakinga priori estimate

姚文星、魏龙

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杭州电子科技大学理学院,杭州 310018

Constantin-Lannes方程 波破 先验估计

2024

杭州电子科技大学学报
杭州电子科技大学

杭州电子科技大学学报

影响因子:0.277
ISSN:1001-9146
年,卷(期):2024.44(9)