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arXiv · 2505.12847

The Stefan problem with mushy region as a scaling limit of stochastic PDE with turbulent transport

Ioana Ciotir·Franco Flandoli·Dan Goreac
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Abstract

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.

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Ioana Ciotir, Franco Flandoli, Dan Goreac. 2025-05-19. The Stefan problem with mushy region as a scaling limit of stochastic PDE with turbulent transport. https://arxiv.org/abs/2505.12847

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