General remarks on the propagation of chaos in wave turbulence and application to the incompressible Euler dynamics

TL;DR

This paper establishes propagation of chaos in wave turbulence for quasisolutions and applies this to analyze the behavior of solutions to the incompressible Euler equations.

Contribution

It proves propagation of chaos in wave turbulence and extends the results to full solutions of the incompressible Euler equations.

Findings

Propagation of chaos is proven for quasisolutions in wave turbulence.

The results are applied to full solutions of the incompressible Euler equations.

The paper provides a theoretical framework connecting wave turbulence and Euler dynamics.

Abstract

In this paper, we prove propagation of chaos in the context of wave turbulence for a generic quasisolution. We then apply the result to full solutions to the incompressible Euler equation.