ON GLOBAL LARGE ENERGY SOLUTIONS TO THE VISCOUS SHALLOW WATER EQUATIONS

被引：1
|
作者：
Zhai, Xiaoping [1 ]
Ye, Hailong [1 ,2 ]
机构：
[1] Shenzhen Univ, Sch Math & Stat, Shenzhen 518060, Peoples R China
[2] Shenzhen Univ, Shenzhen Key Lab Adv Machine Learing & Applicat, Shenzhen 518060, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2020年 / 25卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Shallow water equations; Global solutions; Large energy; Besov space; Littlewood-Paley theory; EXISTENCE;
D O I：
10.3934/dcdsb.2020097
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By exploring the smooth effect of the heat flows and the weighted-Chemin-Lerner technique, we obtain the global solutions of large energy to the viscous shallow water equations with initial data in the critical Besov spaces, which improves the previous small energy type arguments [5], [13]. Moreover, the method used here is quiet different from [5], [13].
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页码：4277 / 4293
页数：17
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