Stochastic mean-field approach to fluid dynamics

Abstract

It is shown that the incompressible Navier-Stokes equation can be derived from an infinite dimensional mean-field stochastic differential equation.

References in corpus (1)

• Solution properties of a 3D stochastic Euler fluid equation

Cited by in corpus (4)

• Modelling the climate and weather of a 2D Lagrangian-averaged Euler-Boussinesq equation with transport noise
• A Hamiltonian Mean-Field System for the Navier-Stokes Equation
• A Hamiltonian interacting particle system for compressible flow
• Probabilistic representation of helicity in viscous fluids