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

DOI10.4067/S0719-06462010000200006zbMath1221.60076arXiv0709.1008OpenAlexW2030659831MaRDI QIDQ3061828

Yana I. Belopolskaya, Sergio A. Albeverio

Publication date: 3 January 2011

Published in: Cubo (Temuco) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.1008

zbMATH Keywords

diffusion processNavier-Stokes system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60) Initial value problems for second-order parabolic systems (35K45) Linear higher-order PDEs (35G05)

Related Items (5)

Numerical Solution of the Incompressible Navier-Stokes Equation by a Deep Branching Algorithm ⋮ Stochastic mean-field approach to fluid dynamics ⋮ A Lagrangian fluctuation–dissipation relation for scalar turbulence. Part I. Flows with no bounding walls ⋮ Navier-Stokes equations and forward-backward SDEs on the group of diffeomorphisms of a torus ⋮ Forward-backward stochastic differential systems associated to Navier-Stokes equations in the whole space

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