BOUNDARY VALUE PROBLEM FOR THE EQUATION OF UNSTEADY THERMAL CONDUCTIVITY IN A NON-CYLINDRICAL REGION

DOI10.47475/2500-0101-2023-8-3-319-330OpenAlexW4387130334MaRDI QIDQ6081686

Z. Yu. Fazullin, Unnamed Author

Publication date: 5 October 2023

Published in: Челябинский физико-математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/chfmj333

zbMATH Keywords

phase transitionStefan problemmoving boundariesperturbed differential operatorfree boundariesfinite integral transformationdegenerate hypergeometric function

Mathematics Subject Classification ID

Partial differential equations (35-XX) Classical thermodynamics, heat transfer (80-XX)

Cites Work

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• One analytic approach to the solution of one-dimensional heat conduction problem with free boundaries
• Explicit solution for a two-phase fractional Stefan problem with a heat flux condition at the fixed face
• Stability analysis of solution methods for a phase transition problem
• On a two-dimensional boundary-value Stefan-type problem arising in cryosurgery
• Optimal control of coefficients in parabolic free boundary problems modeling laser ablation
• ONE-PHASE SPHERICAL STEFAN PROBLEM WITH TEMPERATURE DEPENDENT COEFFICIENTS

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