Deterministic and stochastic geometric mechanics for Hall magnetohydrodynamics

被引：0
|
作者：
Holm, D. D. [1 ]
Hu, R. [1 ]
Street, O. D. [1 ]
机构：
[1] Imperial Coll London, Dept Math, London, England
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2024年 / 480卷 / 2300期
基金：
欧盟地平线“2020”;
关键词：
geometric mechanics; stochastic parametrizations; Lie group invariant variational principles; magnetohydrodynamics; Hall effect; EQUATIONS;
D O I：
10.1098/rspa.2024.0267
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We derive new models of stochastic Hall magnetohydrodynamics (MHD) by applying Lie group symmetry reduction in a stochastic Euler-Poincar & eacute; variational principle. The resulting new theory of stochastic Hall MHD has potential applications for uncertainty quantification and data assimilation in space plasma (space weather), planetary science and solar physics. The stochastic geometric mechanics approach we take here produces coordinate-free results that may then be applied in a variety of spatial configurations.
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页数：25
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