The one-phase fractional Stefan problem

DOI10.1142/S0218202521500032zbMath1473.80010arXiv1912.00097OpenAlexW3095663236MaRDI QIDQ5164204

Félix del Teso, Jørgen Endal, Juan Luis Vazquez

Publication date: 10 November 2021

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.00097

zbMATH Keywords

phase transitionlong-range interactionsStefan problemfractional diffusionfree boundariesnonlinear and nonlocal equation

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Degenerate parabolic equations (35K65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for second-order parabolic equations (35K15) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (11)

A One-Phase Space-Fractional Stefan Problem With No Liquid Initial Domain ⋮ Propagation and reaction–diffusion models with free boundaries ⋮ The two-phase Stefan problem with anomalous diffusion ⋮ Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision ⋮ The High Dimensional Fisher-KPP Nonlocal Diffusion Equation with Free Boundary and Radial Symmetry, Part 1 ⋮ Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities ⋮ Fractional Stefan problem: a survey of the recent results ⋮ Uniform tail estimates and \(L^p( {\mathbb{R}}^N) \)-convergence for finite-difference approximations of nonlinear diffusion equations ⋮ The Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry in \(\mathbb{R}^3 \) ⋮ On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions ⋮ Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions

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