Differential-geometrical approach to the dynamics of dissipationless incompressible Hall magnetohydrodynamics: I. Lagrangian mechanics on semidirect product of two volume preserving diffeomorphisms and conservation laws

DOI10.1088/1751-8113/48/17/175501zbMath1348.70037arXiv1411.2064OpenAlexW2066184851MaRDI QIDQ5250273

Keisuke Araki

Publication date: 19 May 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2064

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Electromagnetic theory (general) (78A25) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03)

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Differential-geometrical approach to the dynamics of dissipationless incompressible Hall magnetohydrodynamics: II. Geodesic formulation and Riemannian curvature analysis of hydrodynamic and magnetohydrodynamic stabilities

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