A probabilistic approach to the two-dimensional Navier-Stokes equations

DOI10.1214/aop/1022677547zbMath0988.60057OpenAlexW4248755160MaRDI QIDQ1577736

Barbara Busnello

Publication date: 30 June 2002

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1022677547

zbMATH Keywords

Navier-Stokes equationsstochastic differential equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Navier-Stokes equations for incompressible viscous fluids (76D05) Integral representations of solutions to PDEs (35C15) Navier-Stokes equations (35Q30) Diffusion processes (60J60)

Related Items (12)

The Burgers equations and the Born rule ⋮ On the geometry of the random representations for viscous fluids and a remarkable pure noise representation ⋮ Stochastic Lagrangian particle approach to fractal Navier-Stokes equations ⋮ A stochastic-Lagrangian approach to the Navier-Stokes equations in domains with boundary ⋮ An approximation method for Navier-Stokes equations based on probabilistic approach. ⋮ A random space-time birth particle method for 2d vortex equations with external field ⋮ A probabilistic interpretation and stochastic particle approximations of the 3-dimensional Navier-Stokes equations ⋮ A stochastic representation for backward incompressible Navier-Stokes equations ⋮ Parabolic Schemes for Quasi-Linear Parabolic and Hyperbolic PDEs via Stochastic Calculus ⋮ A variational formulation for the Navier-Stokes equation ⋮ Forward-backward stochastic differential systems associated to Navier-Stokes equations in the whole space ⋮ Random diffeomorphisms and integration of the classical Navier-Stokes equations

This page was built for publication: A probabilistic approach to the two-dimensional Navier-Stokes equations