Conservation Laws in Magnetohydrodynamics and Fluid Dynamics: Lagrangian Approach

被引：11
|
作者：
Webb, Gary M. [1 ]
Anco, Stephen C. [2 ]
机构：
[1] Univ Alabama, Ctr Space Plasma & Aeron Res, Huntsville, AL 35805 USA
[2] Brock Univ, Dept Math, St Catharines, ON L2S 3A1, Canada
来源：
MODERN TREATMENT OF SYMMETRIES, DIFFERENTIAL EQUATIONS AND APPLICATIONS (SYMMETRY 2019) | 2019年 / 2153卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
THEOREM; EULER; FLOW;
D O I：
10.1063/1.5125089
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we use the Lagrangian action principle for magnetohydrodynamics (MHD) of Newcomb [1] to develop Noether's theorem and conservation laws for MHD based on the Lagrangian map. We discuss the derivation of conservation laws associated with the Lie point symmetries of the equations and also conservation laws associated with fluid relabelling symmetries.
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页数：8
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