Almost Sure Well-Posedness for Hall MHD

被引：0
|
作者：
Mimi Dai
机构：
[1] University of Illinois at Chicago,Department of Mathematics, Statistics and Computer Science
[2] Institute for Advanced Study,School of Mathematics
来源：
Journal of Mathematical Fluid Mechanics | 2024年 / 26卷
关键词：
Magnetohydrodynamics; Supercritical; Randomization; Almost sure well-posedness; 35Q35; 76D03; 76W05;
D O I：
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学科分类号：
摘要：
We consider the magnetohydrodynamics system with Hall effect accompanied with initial data in supercritical Sobolev space. Via an appropriate randomization of the supercritical initial data, both local and small data global well-posedness for the system are obtained almost surely in critical Sobolev space.
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