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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146678We 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 pagesProbabilityAnalysis of PDEs60H10, 60J60, 35G05, 35K45Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processestext