versión On-line ISSN 0719-0646
ALBEVERIO, S y BELOPOLSKAYA, Ya. Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes. Cubo [online]. 2010, vol.12, n.2, pp. 77-96. ISSN 0719-0646. http://dx.doi.org/10.4067/S0719-06462010000200006.
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.
Palabras clave : Stochastic flows; diffusion processes; nonlinear parabolic equations; Cauchy problem.