Hydrodynamics, probability and the geometry of the diffeomorphisms group

2008/10/30 by Ana Bela Cruzeiro, Cruzeiro, Ana Bela
Economics, Econometrics and Finance · Mathematics · #Stochastic processes and financial applications #Geometric Analysis and Curvature Flows #Advanced Differential Equations and Dynamical Systems

paper · pdf · doi:10.48550/arxiv.0810.5507

Abstract

We characterize the solution of Navier-Stokes equation as a stochastic geodesic on the diffeomorphisms group, thus generalizing Arnold's description of the Euler flow.

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