非对称应力张量磁流体力学
Magnetic hydrodynamics with asymmetric stress tensor
摘要：
本文研究了带应力张量的磁流体力学方程。我们将该系统解释为与具有非平凡2-上循环的向量场李代数的阿贝尔扩展相关的广义欧拉方程。我们用李代数方法证明了能量守恒定律和交叉螺旋度守恒。
英文摘要：
In this paper we study equations of magnetic hydrodynamics with a stress tensor. We interpret this system as the generalized Euler equation associated with an abelian extension of the Lie algebra of vector fields with a non-trivial 2-cocycle. We use the Lie algebra approach to prove the energy conservation law and the conservation of cross-helicity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
