A regularity criterion for the 3D generalized MHD system involving partial components

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-05-01 DOI:10.1063/5.0143742

Jinhuan Wang, W. Tan, Yongsheng Nie

引用次数: 0

Abstract

This paper is devoted to establishing the global regularity involving magnetic fields and partial components of the velocity for the 3D generalized magnetohydrodynamic equations with dissipation terms −(−Δ)αu and −(−Δ)βb. We assume 1≤α=β≤32 and prove that if b,u3∈Lw(0,T;Lq(R3)) with 2αw+3q≤3(2α−1)4+3(1−ϵ)4q, 3+ϵ2α−1

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包含部分分量的三维广义MHD系统的正则性判据

本文建立了具有−(−Δ)αu和−(−Δ)βb耗散项的三维广义磁流体动力学方程中涉及磁场和速度部分分量的全局正则性。我们假设1≤α=β≤32，并证明如果b,u3∈Lw(0,T;Lq(R3))与2αw+3q≤3(2α−1)4+3(1−λ)4q, 3+ϵ2α−1

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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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.

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