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arXiv · 0807.0421

Navier-Stokes equations and forward-backward SDEs on the group of diffeomorphisms of a torus

Ana Bela Cruzeiro·Evelina Shamarova
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Abstract

We establish a connection between the strong solution to the spatially periodic Navier-Stokes equations and a solution to a system of forward-backward stochastic differential equations (FBSDEs) on the group of volume-preserving diffeomorphisms of a flat torus. We construct representations of the strong solution to the Navier-Stokes equations in terms of diffusion processes.

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Ana Bela Cruzeiro, Evelina Shamarova. 2010-01-21. Navier-Stokes equations and forward-backward SDEs on the group of diffeomorphisms of a torus. https://arxiv.org/abs/0807.0421

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