Non-classical Stefan problem with nonlinear thermal coefficients and a Robin boundary condition

DOI10.1016/j.nonrwa.2019.03.002zbMath1428.35685OpenAlexW2926238420WikidataQ128181468 ScholiaQ128181468MaRDI QIDQ2283082

Adriana C. Briozzo, Maria F. Natale

Publication date: 27 December 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2019.03.002

zbMATH Keywords

nonlinear integral equationsStefan problemsimilarity solutionconvective boundary conditionnon-classical heat equationnonlinear thermal coefficient

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Related Items (6)

Solutions of a non-classical Stefan problem with nonlinear thermal coefficients and a Robin boundary condition ⋮ Determination of unknown thermal coefficients in a non-classical Stefan problem ⋮ Auxiliary functions in the study of Stefan-like problems with variable thermal properties ⋮ Non-classical two-phase Stefan problem with variable thermal coefficients ⋮ Wavelet based numerical approach of non-classical moving boundary problem with convection effect and variable latent heat under the most generalized boundary conditions ⋮ Exact solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms

Cites Work

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• A nonlinear supercooled Stefan problem
• Existence of an exact solution for a one-phase Stefan problem with nonlinear thermal coefficients from Tirskii's method
• An Application of Glicksberg’s Theorem to Set-Valued Integral Equations Arising in the Theory of Thermostats
• One-Dimensional Heat Conduction with a Class of Automatic Heat-Source Controls
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