Abstract
In this paper we deriüe a probabilistic representation of the deterministic 3-dimensional Naüier-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 üorticity on the interior fluid üelocity.
| Original language | American English |
|---|---|
| Pages (from-to) | 1466-1492 |
| Number of pages | 27 |
| Journal | Annals of Applied Probability |
| Volume | 21 |
| Issue number | 4 |
| DOIs | |
| State | Published - Aug 2011 |
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty
Keywords
- Naüier-Stokes
- Probabilistic representation
- Stochastic Lagrangian
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