The Cauchy Problem for the Two Layer Viscous Shallow Water Equations

被引：0
|
作者：
Pengcheng Mu
Qiangchang Ju
机构：
[1] Northeast Normal University,School of Mathematics and Statistics
[2] Institute of Applied Physics and Computational Mathematics,undefined
来源：
Acta Mathematica Scientia | 2020年 / 40卷
关键词：
two layer shallow water equations; global strong solution; hybrid Besov spaces; 76N10; 35Q35; 35B30;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, the Cauchy problem for the two layer viscous shallow water equations is investigated with third-order surface-tension terms and a low regularity assumption on the initial data. The global existence and uniqueness of the strong solution in a hybrid Besov space are proved by using the Littlewood-Paley decomposition and Friedrichs’ regularization method.
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页码：1783 / 1807
页数：24
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