The Euler system of gas dynamics
Analysis of PDEs
2026-04-01 v1
Abstract
This is a survey highlighting several recent results concerning well/ill posedness of the Euler system of gas dynamics. Solutions of the system are identified as limits of consistent approximations generated either by physically more complex problems, notably the Navier- Stokes-Fourier system, or by the approximate schemes in numerical experiments. The role of the fundamental principles encoded in the First and Second law of thermodynamics in identifying a unique physically admissible solution is examined.
Cite
@article{arxiv.2603.29619,
title = {The Euler system of gas dynamics},
author = {Eduard Feireisl},
journal= {arXiv preprint arXiv:2603.29619},
year = {2026}
}