Statistical solutions to the Euler system of gas dynamics
Analysis of PDEs
2026-02-03 v1
Abstract
We consider the (complete) Euler system describing the motion of a compressible perfect fluid. We propose a platform suitable for constructing the statistical solutions. The main ingredients of our approach include: 1. The concept of dissipative (measure{valued) solution to the Euler system. 2. A single step selection procedure based on minimizing the Bregman divergence of a given solution to the maximal entropy equilibrium. 3. A construction of a Markov semigroup via push forward measures.
Cite
@article{arxiv.2602.02205,
title = {Statistical solutions to the Euler system of gas dynamics},
author = {Eduard Feireisl},
journal= {arXiv preprint arXiv:2602.02205},
year = {2026}
}