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A variant of the pure quaternionic representation of the Navier-Stokes equation

✍ Scribed by E. B. Postnikov; O. B. Stepanova


Book ID
105751286
Publisher
Springer
Year
2005
Tongue
English
Weight
129 KB
Volume
15
Category
Article
ISSN
0188-7009

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## 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