The global Gevrey regularity of the rotation two-component Camassa-Holm system

被引：0
|
作者：
Guo, Yingying [1 ]
Yin, Zhaoyang [1 ,2 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China
[2] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 486卷 / 02期
关键词：
The rotation two-component; Camassa-Holm system; Global Gevrcy regularity; Gevrey class; BOUNDARY VALUE-PROBLEMS; BLOW-UP PHENOMENA; SHALLOW-WATER EQUATION; WELL-POSEDNESS; CONSERVATIVE SOLUTIONS; WEAK SOLUTIONS; WAVE-BREAKING; EXISTENCE; ANALYTICITY; STABILITY;
D O I：
10.1016/j.jmaa.2020.123933
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the rotation two-component Camassa-Holm system, which is a model in the equatorial water waves with the effect of the Coriolis force. We establish the global Gevrey regularity of the rotation two-component Camassa-Holm system in Gevrey class G(tau) with (tau )>= 1 in time. Our obtained result improves considerably the recent result in [45]. (C) 2020 Elsevier Inc. All rights reserved.
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