### 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.