STABLAB Documentation for KdV : Numerical proof of stability of roll waves in the small-amplitude limit for inclined thin film flow

TL;DR

This paper provides MATLAB code to numerically demonstrate the stability of small-amplitude roll waves in inclined thin film flows, offering a computational validation of theoretical stability results.

Contribution

It introduces a MATLAB implementation that numerically verifies the stability of roll waves in a specific fluid flow regime, bridging theory and computational practice.

Findings

Numerical proof of stability for small-amplitude roll waves.

Validation of theoretical predictions through MATLAB simulations.

Provides accessible code for further research and verification.

Abstract

We document the MATLAB code used in the following study: Numerical proof of stability of roll waves in the small-amplitude limit for inclined thin film flow.