Stochastic Euler-Poincaré reduction
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en
Article de revue
Este ítem está publicado en
Journal of Mathematical Physics. 2014-08-06, vol. 55, n° 8
American Institute of Physics (AIP)
Resumen en inglés
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 ...Leer más >
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.< Leer menos
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