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The Stefan problem with mushy region as a scaling limit of stochastic PDE with turbulent transport (2505.12847v1)
Published 19 May 2025 in math.AP
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.