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.

引用

页数：16

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