Navier-Stokes equations and forward-backward SDEs on the group of diffeomorphisms of a torus
Probability
2010-01-21 v5 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.0807.0421,
title = {Navier-Stokes equations and forward-backward SDEs on the group of diffeomorphisms of a torus},
author = {Ana Bela Cruzeiro and Evelina Shamarova},
journal= {arXiv preprint arXiv:0807.0421},
year = {2010}
}