Stochastic Euler-Poincaré reduction

DOI10.1063/1.4893357zbMath1307.37027arXiv1204.3922OpenAlexW1978320009WikidataQ125772300 ScholiaQ125772300MaRDI QIDQ3189907

Ana Bela Cruzeiro, Xin Chen, Marc Arnaudon

Publication date: 12 September 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.3922

zbMATH Keywords

energy functionalLie groupcritical pointsemi-martingaleleft invariant connectionEuler, Navier-Stokes equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Variational principles in infinite-dimensional spaces (58E30) Diffusion processes and stochastic analysis on manifolds (58J65) Generation, random and stochastic difference and differential equations (37H10) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

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