Sergey Pekarsky
Control and Dynamical Systems 107-81
California Institute of Technology,
Pasadena, CA 91125
http://www.cds.caltech.edu/~sergey/
Abstract:
A variational multisymplectic formulation of non-relativistic
continuum mechanics on general Riemannian manifolds is developed.
Two main applications of our theory are considered --
fluid dynamics and elasticity -- each specified by a particular
choice of the Lagrangian density.
A general formalism is developed for non-relativistic first-order
multisymplectic field theories with constraints, such as the
incompressibility constraint. Our main example
of a constraint is the incompressibility constraint
in fluids.