R2 上 MHD 弱解的衰减特征

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2024-11-15 DOI:10.1016/j.na.2024.113701

Felipe W. Cruz, Mirelle M. Sousa

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引用次数: 0

摘要

我们根据初始数据的衰变特性，确定了二维 MHD 微极坐标系统解的衰变率特征。我们还证明了微旋转的衰减率更快。此外，通过与线性部分的解进行比较，我们研究了解的大时间行为。结果还表明，微旋转场与其线性部分之间的差异衰减得更快。

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Decay characterization of weak solutions for the MHD micropolar equations on R2

We establish the characterization of decay rates of solutions to the 2D MHD micropolar system in terms of the decay character of the initial data. We also prove a faster decay rate for the micro-rotation. Moreover, we study the large time behavior of solutions by comparing them to solutions of the linear part. It is also shown that the difference between the micro-rotational field and its linear part decays faster.

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来源期刊

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.