Random compressible Euler flows
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909979081965568 |
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| author | Lukacova-Medvidova, Maria Schneider, Simon |
| author_facet | Lukacova-Medvidova, Maria Schneider, Simon |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24879 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Random compressible Euler flows Lukacova-Medvidova, Maria Schneider, Simon Numerical Analysis Probability 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. |
| title | Random compressible Euler flows |
| topic | Numerical Analysis Probability |
| url | https://arxiv.org/abs/2512.24879 |