# Kinetic formulation of a 2 $\times$ 2 hyperbolic system arising in gas chromatography

## TL;DR

This paper reformulates a gas chromatography system as a kinetic equation with an extra variable, develops a numerical scheme, and tests it on Riemann problems to analyze wave behaviors.

## Contribution

It introduces a novel kinetic formulation for a hyperbolic system in chromatography and constructs a corresponding numerical scheme for its analysis.

## Key findings

- The kinetic scheme effectively captures wave interactions in the system.
- Numerical tests demonstrate the scheme's ability to resolve single and composite waves.
- The approach provides new insights into the system's wave dynamics.

## Abstract

The PSA system commonly used in the context of gas-solid chromatography is reformulated as a single kinetic equation using an additional kinetic variable. A kinetic numerical scheme is built from this new formulation and its behavior is tested on solving the Riemann problem in different configurations leading to single or composite waves.