Translator Disclaimer
August 2011 A stochastic-Lagrangian approach to the Navier–Stokes equations in domains with boundary
Peter Constantin, Gautam Iyer
Ann. Appl. Probab. 21(4): 1466-1492 (August 2011). DOI: 10.1214/10-AAP731

Abstract

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.

Citation

Download Citation

Peter Constantin. Gautam Iyer. "A stochastic-Lagrangian approach to the Navier–Stokes equations in domains with boundary." Ann. Appl. Probab. 21 (4) 1466 - 1492, August 2011. https://doi.org/10.1214/10-AAP731

Information

Published: August 2011
First available in Project Euclid: 8 August 2011

zbMATH: 1246.76018
MathSciNet: MR2857454
Digital Object Identifier: 10.1214/10-AAP731

Subjects:
Primary: 60K40, 76D05

Rights: Copyright © 2011 Institute of Mathematical Statistics

JOURNAL ARTICLE
27 PAGES


SHARE
Vol.21 • No. 4 • August 2011
Back to Top