Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes
Probability
2008-01-29 v2 Analysis of PDEs
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.
Cite
@article{arxiv.0709.1008,
title = {Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes},
author = {S. Albeverio and Ya. Belopolskaya},
journal= {arXiv preprint arXiv:0709.1008},
year = {2008}
}
Comments
44 pages