Variational methods, multisymplectic geometry and continuum mechanics

Details Variational methods, multisymplectic geometry and continuum mechanics Variational methods, multisymplectic geometry and continuum mechanics

2000-05-03

arxiv.org/abs/math/0005034v1

J.Geom.Phys.38:253-284,2001

Mathematics

Differential Geometry

Scientific paper

10.1016/S0393-0440(00)00066-8

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 numerical algorithms. The latter will be the subject of a companion paper.

Affiliated with

Also associated with

No associations

Rating

Variational methods, multisymplectic geometry and continuum mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Variational methods, multisymplectic geometry and continuum mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Variational methods, multisymplectic geometry and continuum mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-231223