Variational methods, multisymplectic geometry and continuum mechanics

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dc.creatorMarsden, Jerrold E.
dc.creatorPekarsky, Sergey
dc.creatorShkoller, Steve
dc.creatorWest, Matthew
dc.date2000-05-03
dc.date.accessioned2026-07-07T10:54:15Z
dc.date.available2026-07-07T10:54:15Z
dc.descriptionThis paper presents a variational and multisymplectic formulation of both compressible and incompressible models of continuum mechanics on general Riemannian manifolds. A general formalism is developed for non-relativistic first-order multisymplectic field theories with constraints, such as the incompressibility constraint. The results obtained in this paper set the stage for multisymplectic reduction and for the further development of Veselov-type multisymplectic discretizations and numerical algorithms. The latter will be the subject of a companion paper.
dc.identifierhttps://arxiv.org/abs/math/0005034
dc.identifierhttp://arxiv.org/abs/math/0005034
dc.identifierJ.Geom.Phys.38:253-284,2001
dc.identifierdoi:10.1016/S0393-0440(00)00066-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185746
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject58B20; 58D05; 76E99
dc.titleVariational methods, multisymplectic geometry and continuum mechanics
dc.typetext

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