# Hydrodynamic limit of the Boltzmann-Monge-Ampere system

## TL;DR

This paper studies the transition from a kinetic plasma model to fluid dynamics, proving convergence to the Euler equations in a specific regime using entropy methods.

## Contribution

It establishes the hydrodynamic limit of the Boltzmann-Monge-Ampere system in the quasineutral regime, a novel result in plasma physics modeling.

## Key findings

- Proves convergence of the system to Euler equations
- Uses the relative entropy method for analysis
- Provides rigorous mathematical justification

## Abstract

In this paper we investigate the hydrodynamic limit of the Boltzmann-Monge-Ampere system in the so-called quasineutral regime. We prove the convergence of the Boltzmann-Monge-Ampere system to the Euler equation by using the relative entropy method.