GLOBAL WELL-POSEDNESS OF 3D MAGNETO-MICROPOLAR FLUID EQUATIONS WITHOUT MAGNETIC DIFFUSION

被引：0

作者：

Wang, Yazhou ^{[1
]}

Wang, Yuzhu ^{[1
]}

机构：

[1] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450011, Peoples R China

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2025年

关键词：

Magneto-micropolar fluid equations; without magnetic diffusion; global stability; periodic boundary conditions; 3-D MHD SYSTEM; REGULARITY CRITERION; WEAK SOLUTIONS; EXISTENCE; MAGNETOHYDRODYNAMICS; DISSIPATION;

D O I：

10.3934/eect.2025011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. This paper investigates 3D magneto-micropolar fluid equations without magnetic diffusion on periodic boxes. When the magnetic diffusion disappears, we demonstrate the global existence of the smooth solutions under the condition that the initial values is small enough. Here we assume that the average of the initial values is equal to zero, and the initial values have some symmetry. The proof is mainly based on the time-weighted energy estimate, poincare<acute accent> type inequality and bootstrapping argument.

引用

页数：23

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