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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2505.08500 |
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| _version_ | 1866913834573234176 |
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| author | Ciotir, Ioana Flandoli, Franco Goreac, Dan |
| author_facet | Ciotir, Ioana Flandoli, Franco Goreac, Dan |
| contents | This work is devoted to the proof of the existence of a martingale solution for a complex version of the stochastic Stefan problem. This particular formulation incorporates two important features: a mushy region and turbulent transport within the liquid phase. While our approach bears similarities to porous media equations, it differs in a crucial aspect. Instead of using the typical framework for such equations, we have chosen to work within an L2 space. This choice is motivated by the nature of the operator that characterizes the turbulent noise in our model. The L2 space provides a more natural and appropriate setting for handling this specific operator, allowing us to better capture and analyze the turbulent transport phenomena in the liquid phase of the Stefan problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_08500 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Existence Result for a Stochastic Stefan Problem With Mushy Region and Turbulent Transport Noise Ciotir, Ioana Flandoli, Franco Goreac, Dan Analysis of PDEs Probability 60H15, 80A22, 76D03 This work is devoted to the proof of the existence of a martingale solution for a complex version of the stochastic Stefan problem. This particular formulation incorporates two important features: a mushy region and turbulent transport within the liquid phase. While our approach bears similarities to porous media equations, it differs in a crucial aspect. Instead of using the typical framework for such equations, we have chosen to work within an L2 space. This choice is motivated by the nature of the operator that characterizes the turbulent noise in our model. The L2 space provides a more natural and appropriate setting for handling this specific operator, allowing us to better capture and analyze the turbulent transport phenomena in the liquid phase of the Stefan problem. |
| title | An Existence Result for a Stochastic Stefan Problem With Mushy Region and Turbulent Transport Noise |
| topic | Analysis of PDEs Probability 60H15, 80A22, 76D03 |
| url | https://arxiv.org/abs/2505.08500 |