Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes
Author
Albeverio, S.
Belopolskaya, Ya.
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/140810.4067/S0719-06462010000200006
Abstract
We reduce the construction of a weak solution of the Cauchy problem for the Navier-Stokes system to the construction of a stochastic problem solution. Under suitable conditions we solve the stochastic problem and prove that simultaneously we obtain a weak (generalized) solution to the Cauchy problem for the Navier-Stokes system.