New variational principles for one-dimensional gas dynamics and for Egorov hydrodynamic type systems

Abstract: The Statement. If some Egorov hydrodynamic type system has one local Hamiltonian structure of Dubrovin-Novikov type, then such a system possesses infinitely many: local Hamiltonian structures of all odd orders, and infinitely many local Lagrangian representations.

mathematical physicsanalysis of PDEsdifferential geometry

Audience: researchers in the topic

( slides | video )

Geometry of differential equations seminar