THE ANALYTICITY AND GENERAL SOLUTION OF THE CAUCHY-STEFAN PROBLEM

DOI10.1093/qjmam/36.4.487zbMath0522.73100OpenAlexW2100539967MaRDI QIDQ3673283

L. N. Tao

Publication date: 1983

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/36.4.487

zbMATH Keywords

convergenceexistenceuniquenessgeneral solutionexact solutionssolidification problemCauchy-Stefan problemanalyticity of interfacial boundaryarbitrarily prescribed initial conditionsat freezing pointfour different casesimmediate solidification with surface temperature below freezing pointinitial conditions expressed in series of fractional powers of space variablelate solidification preceded by presolidification periodno solidification whatsoevertemperature solutionstwo semi-infinite materials

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Heat equation (35K05) Series solutions to PDEs (35C10) Free boundary problems for PDEs (35R35)

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