# Stationary solutions to the two-dimensional Broadwell model

## TL;DR

This paper proves the existence of renormalized solutions for the 2D Broadwell model with L1 initial data, using L1-compactness and Kolmogorov-Riesz techniques due to the discrete velocities.

## Contribution

It introduces a novel approach based on direct L1-compactness and Kolmogorov-Riesz arguments for the 2D Broadwell model with discrete velocities.

## Key findings

- Existence of renormalized solutions established
- Applicable to initial data in L1 space
- Overcomes limitations of averaging techniques for discrete velocities

## Abstract

Existence of renormalized solutions to the two-dimensional Broadwell model with given indata in L1 is proven. Averaging techniques from the continuous velocity case being unavailable when the velocities are discrete, the approach is based on direct L1-compactness arguments using the Kolmogorov-Riesz theoren.