GLOBAL CLASSICAL SOLUTIONS TO EQUATORIAL SHALLOW-WATER EQUATIONS

被引：0
|
作者：
Fang, Yue [1 ]
Li, Kaiqiang [2 ]
Xu, Xin [1 ]
机构：
[1] Ocean Univ China, Sch Math Sci, Qingdao, Peoples R China
[2] Yantai Univ, Sch Math & Informat Sci, Yantai, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 2023卷 / 62期
基金：
中国博士后科学基金;
关键词：
Equatorial shallow-water equations; global classical solution; exponential stability; SINGULAR LIMIT; CAUCHY-PROBLEM; EXISTENCE;
D O I：
10.58997/ejde.2023.62
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the equatorial shallow-water equations with slip boundary condition in a bounded domain. By exploring the dissipa-tive structures of the system, we obtaining a priori estimates of the solution for small initial data. Then the existence of classical global solutions and exponential stability results are given.
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页数：16
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