Variational methods, multisymplectic geometry and continuum mechanics

Journal article

This 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 numerica...

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Authors: Marsden, J; Pekarsky, S; Shkoller, S; West, M

• Journal: J.Geom.Phys.
• Volume: 38
• Issue: 3-4
• Pages: 253-284
• Publication date: 2000-05-03
• DOI: 10.1016/S0393-0440(00)00066-8
• ISSN: 0393-0440
• Language: English
• Keywords: math.DG; 58B20; 58D05; 76E99; math.SG