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

zbMATH Open1378.53020arXiv1005.4567MaRDI QIDQ5368892

Mircea Neagu

Publication date: 11 October 2017

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/1005.4567

zbMATH Keywords

conservation lawscontinuity equationsenergy-stress-momentum d-tensor of multi-time plasmageneralized multi-time Lagrange spacePDEs of stream sheets

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Methods of local Riemannian geometry (53B21)

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