The Stefan problem with temperature-dependent thermal conductivity and a convective term with a convective condition at the fixed face

DOI10.3934/CPAA.2010.9.1209zbMath1201.35186OpenAlexW2010444407MaRDI QIDQ609041

Adriana C. Briozzo, Maria F. Natale, Domingo Alberto Tarzia

Publication date: 30 November 2010

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2010.9.1209

zbMATH Keywords

free boundary problemmoving boundary problemsolidificationStefan problemsimilarity solutionfusionphase-change processnonlinear thermal conductivity

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Flows in porous media; filtration; seepage (76S05) Free boundary problems for PDEs (35R35) Solutions to PDEs in closed form (35C05)

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Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions

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