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

DOI10.1016/J.NONRWA.2023.103961zbMath1526.35334OpenAlexW4385387673MaRDI QIDQ6084759

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Publication date: 6 November 2023

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2023.103961

zbMATH Keywords

Stefan problemmultiple time-scalestime-dependent boundary temperature

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35)

Cites Work

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• On the perturbation method for the Stefan problem with time-dependent boundary conditions
• Multiple scale and singular perturbation methods
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• 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
• On a multiple timescales perturbation approach for a Stefan problem with a time-dependent heat flux at the boundary

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