ALMOST SURE EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR SUPERCRITICAL ELECTRON MHD

被引：0

作者：

Dai, Mimi ^{[1
]}

机构：

[1] Univ Illinois, Chicago, IL 60607 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 03期

关键词：

Magnetohydrodynamics; supercritical; randomization; almost sure existence; DATA CAUCHY-THEORY; LOCAL WELL-POSEDNESS; WAVE-EQUATIONS; HALL; REGULARITY;

D O I：

10.3934/dcdsb.2023146

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem for the electron magnetohydrodynamics model in the supercritical regime. For rough initial data in H-s(T-n) with s > 0, we obtain global in time weak solutions almost surely via an appropriate randomization of the initial data.

引用

页码：1584 / 1610

页数：27

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