On a Stefan problem involving a special spherical region: Application of a Bergman-type expansion

DOI10.1016/0096-3003(86)90021-4zbMath0624.65127OpenAlexW2040943850MaRDI QIDQ578879

Jianyong Qiao, Sumit K. Garg

Publication date: 1986

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(86)90021-4

zbMATH Keywords

chemical reactionStefan problemspherical symmetryBergman-type series expansionmoving boundary-value problemshrinking-core model

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Thermodynamics of continua (80A17) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

Cites Work

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• Heat conduction with nonlinear boundary condition
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• Bergman’s integral operator method in inhomogeneous elasticity
• On The Bergman Operator Method and Anti-Plane Contact Problems Involving an Inhomogeneous Half-Space
• The Stefan problem with arbitrary initial and boundary conditions
• Free boundary problems with radiation boundary conditions
• A Moving Boundary Problem for the Sphere

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