Date of Original Version

8-2010

Type

Article

Rights Management

© Institute of Mathematical Statistics, 2011

Abstract or Description

In this paper we derive a probabilistic representation of the deterministic 3-dimensional Navier–Stokes equations in the presence of spatial boundaries. The formulation in the absence of spatial boundaries was done by the authors in [Comm. Pure Appl. Math. 61 (2008) 330–345]. While the formulation in the presence of boundaries is similar in spirit, the proof is somewhat different. One aspect highlighted by the formulation in the presence of boundaries is the nonlocal, implicit influence of the boundary vorticity on the interior fluid velocity.

DOI

10.1214/10-AAP731

Included in

Mathematics Commons

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Published In

Annals of Applied Probability, 21, 4, 1466-1492.