Approximations of Stochastic Navier-Stokes Equations

TL;DR

This paper demonstrates that solutions to 2D stochastic Navier-Stokes equations driven by Brownian motion can be effectively approximated using equations forced by jump noise, offering a new approach for simulation and analysis.

Contribution

It introduces a novel approximation method for stochastic Navier-Stokes equations using jump noise instead of Brownian motion.

Findings

Jump noise approximations converge to Brownian-driven solutions

Provides a new framework for numerical simulations

Enhances understanding of stochastic fluid dynamics

Abstract

In this paper we show that solutions of two-dimensional stochastic Navier-Stokes equations driven by Brownian motion can be approximated by stochastic Navier-Stokes equations forced by pure jump noise/random kicks.