Phase Transitions with Midrange Interactions: A Nonlocal Stefan Model

DOI10.1137/110849365zbMath1387.35594OpenAlexW2005970763MaRDI QIDQ3165303

Fernando Quirós, Cristina Brändle, Emmanuel Chasseigne

Publication date: 26 October 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110849365

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Asymptotics of solutions to integral equations (45M05) Integro-partial differential equations (35R09)

Related Items (14)

Approximation of random diffusion equations by nonlocal diffusion equations in free boundary problems of one space dimension ⋮ Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part II: Schemes and Experiments ⋮ On the two-phase fractional Stefan problem ⋮ The High Dimensional Fisher-KPP Nonlocal Diffusion Equation with Free Boundary and Radial Symmetry, Part 1 ⋮ Uniform tail estimates and \(L^p( {\mathbb{R}}^N) \)-convergence for finite-difference approximations of nonlinear diffusion equations ⋮ On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions ⋮ Asymptotic behavior for a nonlocal diffusion equation in exterior domains: the critical two-dimensional case ⋮ The Liouville theorem and linear operators satisfying the maximum principle ⋮ Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions ⋮ The one-phase fractional Stefan problem ⋮ Asymptotic Behavior for a One-Dimensional Nonlocal Diffusion Equation in Exterior Domains ⋮ A nonlocal diffusion problem with a sharp free boundary ⋮ Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part I: Theory ⋮ Coupling local and nonlocal evolution equations

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