Probabilistic representation of solutions of hydrodynamic equations

DOI10.1007/BF02680143zbMath0963.35208OpenAlexW2322618367MaRDI QIDQ1588961

Yana I. Belopolskaya

Publication date: 10 December 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02680143

zbMATH Keywords

diffusion processprobabilistic representationboundary value problem for the Navier-Stokes system

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Diffusion processes (60J60) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (1)

Navier-Stokes equations and forward-backward SDEs on the group of diffeomorphisms of a torus

Cites Work

• A mathematical introduction to fluid mechanics
• Geometry of manifolds of maps
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Functional Integration and Partial Differential Equations. (AM-109)
• Wiener processes on manifolds of maps
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