赤道浅水方程组的全局经典解

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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