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On a special class of analytical solutions to the three-dimensional incompressible Navier–Stokes equations

✍ Scribed by Gunawan Nugroho; Ahmed M.S. Ali; Zainal A. Abdul Karim

Book ID
108052480
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
411 KB
Volume
22
Category
Article
ISSN
0893-9659

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A stochastic Lagrangian representation o
A stochastic Lagrangian representation of the three-dimensional incompressible Navier-Stokes equations
✍ 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