Random compressible Euler flows
Numerical Analysis
2026-01-01 v1 Numerical Analysis
Probability
Abstract
We propose a finite volume stochastic collocation method for the random Euler system. We rigorously prove the convergence of random finite volume solutions under the assumption that the discrete differential quotients remain bounded in probability. Convergence analysis combines results on the convergence of a deterministic FV method with stochastic compactness arguments due to Skorokhod and Gy\"ongy-Krylov.
Cite
@article{arxiv.2512.24879,
title = {Random compressible Euler flows},
author = {Maria Lukacova-Medvidova and Simon Schneider},
journal= {arXiv preprint arXiv:2512.24879},
year = {2026}
}