On a multiple timescales perturbation approach for a Stefan problem with a time-dependent heat flux at the boundary

DOI10.1007/S11071-022-07734-7zbMath1526.35218OpenAlexW4289524956WikidataQ113900691 ScholiaQ113900691MaRDI QIDQ6063410

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Publication date: 7 November 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: http://resolver.tudelft.nl/uuid:87408e46-29ab-4009-b312-c5156f35c021

zbMATH Keywords

Stefan problemmultiple timescalestime-dependent heat flux

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Asymptotic expansions of solutions to PDEs (35C20) Perturbations in context of PDEs (35B20) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Moving boundary problems for PDEs (35R37)

Related Items (1)

On a multiple time-scales perturbation analysis of a Stefan problem with a time-dependent Dirichlet boundary condition

Cites Work

• A conservative finite element method for one-dimensional Stefan problems with appearing and disappearing phases
• On the perturbation method for the Stefan problem with time-dependent boundary conditions
• Multiple scale and singular perturbation methods
• Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers
• Asymptotic and Numerical Solutions of a Free Boundary Problem for the Sorption of a Finite Amount of Solvent into a Glassy Polymer
• The Stefan problem with a convective boundary condition
• Existence and Uniqueness for Similarity Solutions of One Dimensional Multi-Phase Stefan Problems
• A mathematical model for the dissolution of particlesin multi-component alloys
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