The Stefan problem with mushy region as a scaling limit of stochastic PDE with turbulent transport
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910953092677632 |
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| author | Ciotir, Ioana Flandoli, Franco Goreac, Dan |
| author_facet | Ciotir, Ioana Flandoli, Franco Goreac, Dan |
| contents | This work establishes a scaling limit theorem for the Stefan problem incorporating a mushy region, demonstrating that solutions to stochastic variants with turbulent transport terms converge to the solution to a deterministic partial differential equation. The analysis builds upon recent advances in stochastic phase-change modeling and turbulent flow mathematics in [5]. In the physical interpretation of an ice melting process, our result shows that turbulence accelerates ice melting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12847 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Stefan problem with mushy region as a scaling limit of stochastic PDE with turbulent transport Ciotir, Ioana Flandoli, Franco Goreac, Dan Analysis of PDEs 60H15, 80A22, 76D03 This work establishes a scaling limit theorem for the Stefan problem incorporating a mushy region, demonstrating that solutions to stochastic variants with turbulent transport terms converge to the solution to a deterministic partial differential equation. The analysis builds upon recent advances in stochastic phase-change modeling and turbulent flow mathematics in [5]. In the physical interpretation of an ice melting process, our result shows that turbulence accelerates ice melting. |
| title | The Stefan problem with mushy region as a scaling limit of stochastic PDE with turbulent transport |
| topic | Analysis of PDEs 60H15, 80A22, 76D03 |
| url | https://arxiv.org/abs/2505.12847 |