# On the Zakharov-L'vov stochastic model for wave turbulence

## TL;DR

This paper reviews the main results concerning the Zakharov-L'vov stochastic model for wave turbulence, focusing on its limiting properties and providing rigorous mathematical analysis.

## Contribution

It offers a rigorous study of the limiting behavior of the Zakharov-L'vov stochastic model for wave turbulence, advancing theoretical understanding.

## Key findings

- Rigorous analysis of the model's limiting properties
- Validation of the stochastic model's assumptions
- Mathematical proofs supporting the model's behavior

## Abstract

In this note we present the main results of the papers \cite{DK, DK2}, dedicated to rigorous study of the limiting properties of the stochastic model for wave turbulence due to Zakharov-L'vov. Proofs of the assertions, stated below without reference, may be found in those works.