The Stefan Problem with Mushy Region as a Scaling Limit of Stochastic PDE with Turbulent Transport
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 [8]. In the physical interpretation of an ice melting process, our result shows that turbulence accelerates ice melting.
Authors
- Ioana Ciotir (ORCID: https://orcid.org/0000-0002-8831-050X)
- Dan Goreac (ORCID: https://orcid.org/0000-0002-8693-6672)
- Franco Flandoli (ORCID: https://orcid.org/0000-0003-2837-3784)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Scuola Normale Superiore (IT)
- Université Paris-Est Créteil (FR)
- Normandie Université (FR)
- Laboratoire d’Analyse et de Mathématiques Appliquées (FR)
- Université Gustave Eiffel (FR)
- Université Laval (CA)
- Université de Rouen Normandie (FR)
- Institut National des Sciences Appliquées Rouen Normandie (FR)
Publication Details
- Journal
- Journal of Dynamics and Differential Equations
- Published
- 2026-01-03
- DOI
- https://doi.org/10.1007/s10884-025-10478-8
- Primary Topic
- Solidification and crystal growth phenomena
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- European Commission
- Agence Nationale de la Recherche
- Région Normandie
- Natural Sciences and Engineering Research Council of Canada
- European Regional Development Fund