三维微波流体方程在变指数函数空间中的好求解性

IF 1.3 4区数学 Q1 MATHEMATICS

Journal of Mathematics Pub Date : 2023-12-26 DOI:10.1155/2023/4083997

Muhammad Zainul Abidin, Muhammad Marwan, Naeem Ullah, Ahmed Mohamed Zidan

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引用次数: 0

摘要

本文研究了三维微波流体方程的 Cauchy 问题。对于较小的初始数据，在变分量傅里叶-贝索夫空间中，我们得到了全局好求结果。Littlewood-Paley 分解法和傅里叶定位技术是获得结果的主要工具。此外，我们工作中讨论的结果显示了微极性流体方程 Cauchy 问题解的 Gevrey 类正则性。

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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Well-Posedness in Variable-Exponent Function Spaces for the Three-Dimensional Micropolar Fluid Equations

In this paper, we work on the Cauchy problem of the three-dimensional micropolar fluid equations. For small initial data, in the variable-exponent Fourier–Besov spaces, we achieve the global well-posedness result. The Littlewood–Paley decomposition method and the Fourier-localization technique are main tools to obtain the results. Moreover, the results discussed in our work show the Gevrey class regularity of solution to the Cauchy problem of micropolar fluid equations.

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来源期刊

Journal of Mathematics Mathematics-General Mathematics

CiteScore

2.50

自引率

14.30%

发文量

期刊介绍： Journal of Mathematics is a broad scope journal that publishes original research articles as well as review articles on all aspects of both pure and applied mathematics. As well as original research, Journal of Mathematics also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.