轴对称MHD系统的正则性准则

IF 0.7 4区数学 Q2 MATHEMATICS

Annales Polonici Mathematici Pub Date : 2021-01-01 DOI:10.4064/ap200221-15-9

Zujin Zhang, Yali Zhang

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引用次数: 0

摘要

我们给出了三维磁流体动力学方程轴对称解的几个加权正则性准则，涉及u, u;U, b，∂ru，∂rb;U, b，∂zu，∂zb;U, b，∂ru，∂rb;或ω，其中u、u、u分别为速度的角分量、旋流分量和轴向分量，ω为涡度的旋流分量。

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Remarks on the regularity criteria for the axisymmetric MHD system

We show several weighted regularity criteria for the axisymmetric solutions to the three-dimensional magnetohydrodynamic equations, involving u, u; u, b, ∂ru , ∂rb ; u, b, ∂zu, ∂zb; u, b, ∂ru, ∂rb; or ω, where u, u, u are the angular, swirl and axial components of the velocity respectively and ω denotes the swirl component of the vorticity.

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来源期刊

Annales Polonici Mathematici 数学-数学

CiteScore

0.90

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： Annales Polonici Mathematici is a continuation of Annales de la Société Polonaise de Mathématique (vols. I–XXV) founded in 1921 by Stanisław Zaremba. The journal publishes papers in Mathematical Analysis and Geometry. Each volume appears in three issues.