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arXiv 1005.4567math.DG
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多次磁化非粘性等离子体的Riemann-Lagrange几何动力学

Riemann-Lagrange Geometric Dynamics for the Multi-Time Magnetized Non-Viscous Plasma

Mircea Neagu

摘要:

本文利用Riemann-Lagrange几何方法,在单喷流空间上建立了一个研究多时间相对论磁化非粘性等离子体的几何模型,其特征在于具有给定的能量-应力-动量区别(d-)张量。在这方面,我们给出了多时间等离子体的守恒律和连续性方程。给出了多时刻等离子体流面(等离子体经典半黎曼几何方法中的流线等价物)的偏微分方程。

英文摘要:

In this paper, using Riemann-Lagrange geometrical methods, we construct a geometrical model on 1-jet spaces for the study of multi-time relativistic magnetized non-viscous plasma, characterized by a given energy-stress-momentum distinguished (d-) tensor. In that arena, we give the conservation laws and the continuity equations for multi-time plasma. The partial differential equations of the stream sheets (the equivalent of stream lines in the classical semi-Riemannian geometrical approach of plasma) for multi-time plasma are also written.

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。

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