Geometry of nonabelian charged fluids

DOI10.4310/DPDE.2011.v8.n1.a2zbMath1229.37098WikidataQ115204471 ScholiaQ115204471MaRDI QIDQ553413

François Gay-Balmaz, Tudor S. Ratiu

Publication date: 27 July 2011

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

reductionPoisson bracketsYang-Mills fieldchromohydrodynamicsnonabelian charged fluidYang-Mills electrohydrodynamicsYang-Mills magnetohydrodynamics

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Applications of global differential geometry to the sciences (53C80) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

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Dual Pairs for Non-Abelian Fluids ⋮ Dirac reduction for nonholonomic mechanical systems and semidirect products ⋮ On flexible tubes conveying fluid: geometric nonlinear theory, stability and dynamics ⋮ Reduced variational formulations in free boundary continuum mechanics ⋮ Stochastic variational principles for dissipative equations with advected quantities

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