Stochastic Euler-Poincaré reduction
Language
en
Article de revue
This item was published in
Journal of Mathematical Physics. 2014-08-06, vol. 55, n° 8
American Institute of Physics (AIP)
English Abstract
We prove a Euler-Poincaré reduction theorem for stochastic processes taking values on a Lie group, which is a generalization of the reduction argument in Marsden-Ratiu (2003) for the deterministic case. We also show examples ...Read more >
We prove a Euler-Poincaré reduction theorem for stochastic processes taking values on a Lie group, which is a generalization of the reduction argument in Marsden-Ratiu (2003) for the deterministic case. We also show examples of its application to SO(3) and to the group of diffeomorphisms, which includes the Navier-Stokes equation on a bounded domain and the Camassa-Holm equation.Read less <
Origin
Hal imported