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

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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.
44 pages

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Probability, Analysis of PDEs, 60H10, 60J60, 35G05, 35K45

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http://salesiana.dossiersoluciones.com/handle/123456789/146678

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.1008
 http://arxiv.org/abs/0709.1008

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arXiv