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On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier–Stokes equations

✍ Scribed by Caraballo, Tomás; Real, José; Taniguchi, Takeshi

Book ID
120147771
Publisher
The Royal Society
Year
2005
Tongue
English
Weight
368 KB
Volume
462
Category
Article
ISSN
0962-8444

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✍ Peter Constantin; Gautam Iyer 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 115 KB 👁 1 views

## Abstract In this paper we derive a probabilistic representation of the deterministic three‐dimensional Navier‐Stokes equations based on stochastic Lagrangian paths. The particle trajectories obey SDEs driven by a uniform Wiener process; the inviscid Weber formula for the Euler equations of ideal