Variational methods , multisymplectic geometry and continuum mechanics

  title={Variational methods , multisymplectic geometry and continuum mechanics},
  author={Jerrold E. Marsden and Sergey Pekarsky and Steve Shkoller and Matthew West},
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 nonrelativistic 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… CONTINUE READING
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