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Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes

Authors
  • Albeverio, S.
  • Belopolskaya, Ya.
Type
Preprint
Publication Date
Jan 29, 2008
Submission Date
Sep 07, 2007
Identifiers
arXiv ID: 0709.1008
Source
arXiv
License
Unknown
External links

Abstract

We reduce the construction of a weak solution of the Cauchy problem for the Navier-Stokes system to the construction of a solution to a stochastic problem. Namely, we construct diffusion processes which allow us to obtain a probabilistic representation of a weak (in distributional sense) solution to the Cauchy problem for the Navier- Stokes system.

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