A one-phase Stefan problem for a non-classical heat equation with a heat flux condition on the fixed face

DOI10.1016/j.amc.2006.04.043zbMath1120.35085OpenAlexW2080530205MaRDI QIDQ861182

Adriana C. Briozzo, Domingo Alberto Tarzia

Publication date: 9 January 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.04.043

zbMATH Keywords

free boundary problemStefan problemVolterra integral equationsimilarity solutionnon-classical heat equationnonlinear heat sources

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35) Volterra integral equations (45D05)

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Cites Work

• A class of nonlinear non-classical parabolic equations
• Nonlinear diffusion problems. Lectures given at the 2nd 1985 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, June 10-18, 1985
• On a certain nonlinear integral equation of the Volterra type
• Diffusion in a Semi-Infinite Region with Nonlinear Surface Dissipation
• One-Dimensional Heat Conduction with a Class of Automatic Heat-Source Controls
• Asymptotic behaviour of a non-classical heat conduction problem for a semi-infinite material
• A free boundary problem for the heat equation with prescribed flux at both fixed face and melting interface
• Almost-periodic behavior of solutions of a nonlinear Volterra system.
• Heat transfer between solids and gases under nonlinear boundary conditions
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