# Constructive Euler hydrodynamics for one-dimensional attractive particle systems

## TL;DR

This paper reviews a constructive approach to deriving hydrodynamic limits for one-dimensional attractive particle systems, applicable in both homogeneous and disordered environments, emphasizing weak and strong convergence modes.

## Contribution

It introduces and consolidates a constructive method for analyzing hydrodynamic limits of asymmetric attractive particle systems in various settings.

## Key findings

- Unified framework for hydrodynamic limits in attractive particle systems
- Applicability to both homogeneous and quenched disordered environments
- Emphasis on weak and strong convergence modes

## Abstract

We review a (constructive) approach first introduced in [6] and further developed in [7, 8, 38, 9] for hydrodynamic limits of asymmetric attractive particle systems, in a weak or in a strong (that is, almost sure) sense, in an homogeneous or in a quenched disordered setting.