Particle approximation for Lagrangian Stochastic Models with specular boundary condition

TL;DR

This paper proves a particle approximation method for Lagrangian stochastic models with specular boundary conditions, demonstrating the propagation of chaos under certain physical constraints.

Contribution

It introduces a novel particle approximation framework for Lagrangian stochastic models with boundary conditions, advancing theoretical understanding.

Findings

Established propagation of chaos for the model

Validated the particle approximation under boundary conditions

Provided mathematical proof of the approximation's validity

Abstract

In this paper, we prove a particle approximation, in the sense of the propagation of chaos, of a Lagrangian stochastic model submitted to specular boundary condition and satisfying the mean no-permeability condition.