23/05/2018, 11:30 — 12:30 — Room P3.10, Mathematics Building
Ana Bela Cruzeiro, Department of Mathematics, Instituto Superior Técnico
Stochastic Clebsch variational principles
We derive the equations of motion associated with stochastic Clebsch action principles for mechanical systems whose configuration space is a manifold on which a Lie algebra acts transitively. These are stochastic differential equations (spde's in infinite dimensions).
We give the Hamiltonian version of the equations, as well as the corresponding Kolmogorov equations.
This is a joint work with D. D. Holm and T. S. Ratiu.