A uniform point vortex approximation for the solution of the two-dimensional Navier Stokes equation with transport noise

2024/10/30 by Filippo Giovagnini, Dan Crisan, Giovagnini, Filippo +1
Engineering · #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Lattice Boltzmann Simulation Studies #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2410.23163

openalex publication_date 2024/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a model of interacting particles represented by a system of N stochastic differential equations. We establish that the mollified empirical distribution of the system converges uniformly with respect to both time and spatial variables to the solution of the two dimensional Navier Stokes equation with transport noise. The proofs are based on a semigroup approach.

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