Non-classical two-phase Stefan problem with variable thermal coefficients

DOI10.1016/j.jmaa.2024.128094MaRDI QIDQ6150504

Julieta Bollati, Adriana C. Briozzo

Publication date: 8 February 2024

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

zbMATH Keywords

fixed pointStefan problemsimilarity solutionheat sourcediffusion-convection equationtemperature-dependent thermal coefficient

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Fixed-point theorems (47H10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Systems of nonlinear integral equations (45G15) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• A class of nonlinear non-classical parabolic equations
• A phase change problem with temperature-dependent thermal conductivity and specific heat
• Non-classical Stefan problem with nonlinear thermal coefficients and a Robin boundary condition
• Two Stefan problems for a non-classical heat equation with nonlinear thermal coefficients.
• A Stefan problem with moving phase change material, variable thermal conductivity and periodic boundary condition
• One-Dimensional Heat Conduction with a Class of Automatic Heat-Source Controls
• Thermal runaway and microwave heating in thin cylindrical domains

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