Stochastic mean-field approach to fluid dynamics

TL;DR

This paper presents a novel stochastic mean-field framework that derives the incompressible Navier-Stokes equation from an infinite-dimensional stochastic differential equation, offering a new perspective on fluid dynamics modeling.

Contribution

It introduces a stochastic mean-field approach to derive the Navier-Stokes equation, bridging stochastic processes and fluid dynamics in a new way.

Findings

Navier-Stokes derived from stochastic mean-field equations

Establishes a link between stochastic processes and fluid mechanics

Provides a new mathematical framework for fluid dynamics

Abstract

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