关于三维平稳MHD方程的Liouville型定理的注记

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2020-09-01 DOI:10.4134/BKMS.B190828

Zhouyu Li, Pan Liu, P. Niu

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引用次数: 9

摘要

本文的目的是建立稳态MHD方程的Liouville型结果。特别地，我们证明了速度和磁场，属于某些洛伦兹空间，必须为零。此外，我们还得到了轴对称MHD方程的Liouville型定理。我们的结果概括了Schulz[14]和Seregin-Wang[18]之前的工作。

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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Remarks on Liouville type theorems for the 3D stationary MHD equations

The aim of this paper is to establish Liouville type results for the stationary MHD equations. In particular, we show that the velocity and magnetic field, belonging to some Lorentz spaces, must be zero. Moreover, we also obtain Liouville type theorem for the case of axially symmetric MHD equations. Our results generalize previous works by Schulz [14] and Seregin-Wang [18].

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).