Stochastic Mean-Field Approach to Fluid Dynamics

  title={Stochastic Mean-Field Approach to Fluid Dynamics},
  author={Simon Hochgerner},
  journal={Journal of Nonlinear Science},
  • Simon Hochgerner
  • Published 3 November 2017
  • Mathematics
  • Journal of Nonlinear Science
It is shown that the incompressible Navier–Stokes equation can be derived from an infinite-dimensional mean-field stochastic differential equation. 

A Hamiltonian mean field system for the Navier–Stokes equation

  • Simon Hochgerner
  • Mathematics, Physics
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2018
We use a Hamiltonian interacting particle system to derive a stochastic mean field system whose McKean–Vlasov equation yields the incompressible Navier–Stokes equation. Since the system is

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