Geodesics on extensions of Lie groups and stability: The superconductivity equation
DOI10.1016/S0375-9601(01)00279-1zbMath1002.76007arXivmath/0103140WikidataQ115339082 ScholiaQ115339082MaRDI QIDQ5936617
Publication date: 2 July 2001
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0103140
stabilityLie groupsmagnetic fieldcurvatureequations of motiongeodesic equationsgroup of volume-preserving diffeomorphismsideal charged fluidquantization of magnetic fluxright invariant metricssuperconductivity equationvolume preserving diffeomorphisms
Applications of Lie groups to the sciences; explicit representations (22E70) Magnetohydrodynamics and electrohydrodynamics (76W05) Superfluids (classical aspects) (76A25) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)
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Cites Work
- Geometry and curvature of diffeomorphism groups with \(H^1\) metric and mean hydrodynamics
- Central extensions of infinite-dimensional Lie algebras and Lie groups, Virasoro algebra and generalizations
- A shallow water equation as a geodesic flow on the Bott-Virasoro group
- Topological methods in hydrodynamics
- The geometry and analysis of the averaged Euler equations and a new diffeomorphism group
- Finite-mode analogs of 2D ideal hydrodynamics: Coadjoint orbits and local canonical structure
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Semidirect Products and Reduction in Mechanics
- Semi-bounded unitary representations of infinite-dimensional Lie groups
- The inverse function theorem of Nash and Moser
- Geodesics and curvature of a group of diffeomorphisms and motion of an ideal fluid
- A shallow water equation on the circle
- Two-dimensional ideal magnetohydrodynamics and differential geometry
- Conjugate points in the Bott-Virasoro group and the KdV equation
- An integrable shallow water equation with peaked solitons
- The Camassa–Holm equation as a geodesic flow on the diffeomorphism group
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