赤道浅水方程组的全局经典解

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-09-21 DOI:10.58997/ejde.2023.62

Yue Fang, Kaiqiang Li, Xin Xu

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引用次数: 0

摘要

本文研究了有界区域内具有滑移边界条件的赤道浅水方程组。通过研究系统的耗散结构，我们得到了小初始数据解的先验估计。然后给出经典全局解的存在性和指数稳定性结果。欲了解更多信息，请访问https://ejde.math.txstate.edu/Volumes/2023/62/abstr.html

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Global classical solutions to equatorial shallow-water equations

In this article, we study the equatorial shallow-water equations with slip boundary condition in 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. For more inofrmation see https://ejde.math.txstate.edu/Volumes/2023/62/abstr.html

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.