# Stochastic Mean-Field Approach to Fluid Dynamics

@article{Hochgerner2017StochasticMA, title={Stochastic Mean-Field Approach to Fluid Dynamics}, author={Simon Hochgerner}, journal={Journal of Nonlinear Science}, year={2017}, volume={28}, pages={725-737} }

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

## 4 Citations

### A Hamiltonian mean field system for the Navier–Stokes equation

- Mathematics, PhysicsProceedings 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…

### Probabilistic representation of helicity in viscous fluids

- PhysicsComptes Rendus. Mécanique
- 2022

It is shown that the helicity of three dimensional viscous incompressible flow can be identified with the overall linking of the fluid's initial vorticity to the expectation of a stochastic mean…

### A Hamiltonian Interacting Particle System for Compressible Flow

- PhysicsWater
- 2020

The decomposition of the energy of a compressible fluid parcel into slow (deterministic) and fast (stochastic) components is interpreted as a stochastic Hamiltonian interacting particle system…

### Modelling the Climate and Weather of a 2D Lagrangian-Averaged Euler–Boussinesq Equation with Transport Noise

- Environmental ScienceJournal of Statistical Physics
- 2020

The prediction of climate change and its impact on extreme weather events is one of the great societal and intellectual challenges of our time. The first part of the problem is to make the…

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