Riemannian geometry of the motion of an ideal incompressible magnetohydrodynamical fluid

DOI10.1016/0167-2789(94)00152-GzbMath0890.53061OpenAlexW2074205158WikidataQ115363822 ScholiaQ115363822MaRDI QIDQ1345695

Toshihiko Ono

Publication date: 9 March 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)00152-g

zbMATH Keywords

instabilityequation of motionhydrodynamicsideal incompressible fluidgeodesic equationRiemannian connection

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (2)

Gauge freedom in magnetostatics and the effect on helicity in toroidal volumes ⋮ The Euler-Poincaré equations and semidirect products with applications to continuum theories

Cites Work

• Unnamed Item
• Unnamed Item
• Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Semidirect Products and Reduction in Mechanics
• On the curvature of the group of measure-preserving diffeomorphisms of ann-dimensional torus
• Two-dimensional ideal magnetohydrodynamics and differential geometry
• Ideal magnetohydrodynamics and passive scalar motion as geodesics on semidirect product groups

This page was built for publication: Riemannian geometry of the motion of an ideal incompressible magnetohydrodynamical fluid