Yue Fang, Kaiqiang Li, Xin Xu
Abstract:
In this article, we study the equatorial shallow-water equations with slip boundary condition in a bounded domain. By exploring the dissipative
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.
Submitted April 20, 2023. Published September 21, 2023.
Math Subject Classifications: 35Q35, 76N10, 76U05, 76M45.
Key Words: Equatorial shallow-water equations; global classical solution; exponential stability.
DOI: 10.58997/ejde.2023.62
Show me the PDF file (325 KB), TEX file for this article.
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Yue Fang School of Mathematical Sciences Ocean University of China Qingdao, China email: yyfang0929@163.com |
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Kaiqiang Li School of Mathematics and Information Sciences Yantai University Yantai, China email: kaiqiangli19@163.com |
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Xin Xu School of Mathematical Sciences Ocean University of China Qingdao, China email: xx@ouc.edu.cn |
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