速度有旋的无磁阻抗轴对称Hall-MHD系统的正则性判别准则
On Regularity Criteria of Non-Resistive Axi-ally Symmetric Hall-MHD System with a Non-Vanishing Swirl Component of Velocity
DOI: 10.12677/PM.2024.142076, PDF,    科研立项经费支持
作者: 杨美鲜：南京信息工程大学数学与统计学院，江苏 南京
关键词: 无磁阻抗；Hall-MHD系统；轴对称；正则性判别准则；Non-Resistive； Hall-MHD System； Axially Symmetric； Regularity Criteria
摘要: 本文研究速度有旋的无磁阻抗轴对称Hall-MHD系统的正则性判别准则。我们证明了：如果磁场的旋度分量满足一个Beale-Kato-Majda型准则，且速度的水平旋度分量满足一个Prodi-Serrin型准则时，系统的强解可以光滑地延拓到可能的爆破时间之外。
Abstract: In this paper, we consider the regularity criteria for the non-resistive axially symmetric Hall-MHD system whose swirl component of velocity is non-trivial. We show that if the swirl component of the magnetic field satisfies a Beale-Kato-Majda-type criterion, and the swirl component of the velocity satisfies a Prodi-Serrin-type criterion, then the strong solution can smoothly extend beyond a possible blow-up time.
文章引用：杨美鲜. 速度有旋的无磁阻抗轴对称Hall-MHD系统的正则性判别准则[J]. 理论数学, 2024, 14(2): 783-798. https://doi.org/10.12677/PM.2024.142076

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