Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156174 | Stochastic Processes and their Applications | 2009 | 27 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Ana Bela Cruzeiro, Evelina Shamarova,