The Compressible to Incompressible Limit of 1D Euler Equations: the Non Smooth Case

TL;DR

This paper proves a rigorous mathematical convergence of weak solutions of 1D Euler equations from compressible to incompressible regimes, specifically addressing the non-smooth case.

Contribution

It provides the first rigorous proof of the compressible to incompressible limit for weak entropy solutions in the non-smooth setting.

Findings

Convergence established for weak entropy solutions

Addresses non-smooth initial data

Mathematically confirms the limit process

Abstract

We prove a rigorous convergence result for the compressible to incompressible limit of weak entropy solutions to the isothermal 1D Euler equations.