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arXiv · 2512.24879

Random compressible Euler flows

Maria Lukacova-Medvidova·Simon Schneider
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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 Gyöngy-Krylov.

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Maria Lukacova-Medvidova, Simon Schneider. 2025-12-31. Random compressible Euler flows. https://arxiv.org/abs/2512.24879

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