Brownian motion on volume preserving diffeomorphisms group and existence of global solutions of 2D stochastic Euler equation

DOI10.1016/j.jfa.2006.06.010zbMath1109.58035OpenAlexW2090009659MaRDI QIDQ859651

Ana Bela Cruzeiro, Paul Malliavin, Franco Flandoli

Publication date: 16 January 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.06.010

zbMATH Keywords

geodesic flowstochastic parallel transportChristoffel symbolsstochastic transport equationCartan development on a finite-dimensional Ri\-e\-man\-ni\-an Lie groupconservative Dirichlet process generated by the transfer energy matrixconstants of structureGirsanov subordination of the geodesic flow to the Brownian flowhomogeneous Riemannian manifold, Euclidian Brownian motionLie algebra of vector fields with vanishing divergencelinear (delayed) Stratonovitch SDEregularity of the solution of stochastic Euler equationRiemannian Brownian motion on diffeomorphisms groupstochastic Euler flow

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes and stochastic analysis on manifolds (58J65)

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