A Stefan problem for a non-classical heat equation with a convective condition

DOI10.1016/j.amc.2010.10.015zbMath1210.80015OpenAlexW2068068517MaRDI QIDQ618103

Adriana C. Briozzo, Domingo Alberto Tarzia

Publication date: 14 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.10.015

zbMATH Keywords

free boundary problemStefan problemVolterra integral equationnon-classical heat equation

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22)

Related Items

The existence of solutions for drying with coupled phase change in a porous medium, Unnamed Item, A heat conduction problem with sources depending on the average of the heat flux on the boundary, Non-classical heat conduction problem with nonlocal source, Global solution to a non-classical heat problem in the semi-space $\mathbb {R}^{+}\times \mathbb {R}^{n-1}$, Integral formulation for a Stefan problem with spherical symmetry, Non-classical Stefan problem with nonlinear thermal coefficients and a Robin boundary condition

Cites Work

• A one-phase Stefan problem for a non-classical heat equation with a heat flux condition on the fixed face
• 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
• The asymptotic behavior for the one-phase Stefan problem with a convective boundary condition
• On a certain nonlinear integral equation of the Volterra type
• An Application of Glicksberg’s Theorem to Set-Valued Integral Equations Arising in the Theory of Thermostats
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item