Computational algorithms for invariant reduction of variational forms

Abstract: Symmetry reductions of partial differential equations inherit more geometric structures than other types of reductions: invariant conservation laws, presymplectic structures, internal Lagrangians, and, under suitable conditions, Hamiltonian structures of the original system descend to its symmetry reduction through the mechanism of invariant reduction. Reductions of all these structures can often be described in terms of variational forms. We will discuss computational algorithms that carry out reductions of variational forms explicitly.

mathematical physicsanalysis of PDEsdifferential geometry

Audience: researchers in the topic

( paper )

Geometry of differential equations seminar