ON THE WELL-POSEDNESS FOR THE VISCOUS SHALLOW WATER EQUATIONS

被引：38

作者：

Chen, Qionglei ^{[1
]}

Miao, Changxing ^{[1
]}

Zhang, Zhifei ^{[2
]}

机构：

[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2008年 / 40卷 / 02期

关键词：

shallow water equations; well-posedness; Bony's paraproduct decomposition; weight Besov space;

D O I：

10.1137/060660552

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence and uniqueness of the solutions for the two-dimensional viscous shallow water equations with low regularity assumptions on the initial data as well as the initial height bounded away from zero.

引用

页码：443 / 474

页数：32

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