Convergence of the solution of the one-phase Stefan problem when the heat transfer coefficient goes to zero

DOI10.1016/J.JMAA.2011.11.049zbMath1231.35261OpenAlexW2049217962MaRDI QIDQ663692

Adriana C. Briozzo, Domingo Alberto Tarzia

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.11.049

zbMATH Keywords

asymptotic behaviorStefan problemheat transfer coefficientfree boundary problemsorder of convergence

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Cites Work

• General free-boundary problems for the heat equation. I
• The asymptotic behavior for the one-phase Stefan problem with a convective boundary condition
• The zero-phase Stefan problem
• Remarks on the one-phase Stefan problem for the heat equation with the flux prescribed on the fixed boundary
• New results on some classical parabolic free-boundary problems
• The Stefan problem with a convective boundary condition
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