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

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

2007-09-07

arxiv.org/abs/0709.1008v2

Mathematics

Probability

44 pages

Scientific paper

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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