The Geometric Structure of Complex Fluids

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dc.creatorGay-Balmaz, François
dc.creatorRatiu, Tudor S.
dc.date2009-03-25
dc.date.accessioned2026-07-07T12:56:25Z
dc.date.available2026-07-07T12:56:25Z
dc.descriptionThis paper develops the theory of affine Euler-Poincaré and affine Lie-Poisson reductions and applies these processes to various examples of complex fluids, including Yang-Mills and Hall magnetohydrodynamics for fluids and superfluids, spin glasses, microfluids, and liquid crystals. As a consequence of the Lagrangian approach, the variational formulation of the equations is determined. On the Hamiltonian side, the associated Poisson brackets are obtained by reduction of a canonical cotangent bundle. A Kelvin-Noether circulation theorem is presented and is applied to these examples.
dc.identifierhttps://arxiv.org/abs/0903.4294
dc.identifierhttp://arxiv.org/abs/0903.4294
dc.identifierAdv. Appl. Math., 42 (2) (2008) 176-275
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224579
dc.subjectMathematical Physics
dc.subjectChaotic Dynamics
dc.titleThe Geometric Structure of Complex Fluids
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