Integral formulation for a Stefan problem with spherical symmetry

DOI10.1007/S00033-021-01527-5zbMath1464.80009OpenAlexW3157265758MaRDI QIDQ2026403

María S. Gutierrez, Julieta Bollati, Adriana C. Briozzo

Publication date: 19 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-021-01527-5

zbMATH Keywords

integral equationStefan problemspherical symmetryfixed point Banach's theorem

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Volterra integral equations (45D05)

Cites Work

• An integral equation method for spherical Stefan problems
• On the numerical solution of a Stefan problem with finite extinction time
• An accurate numerical solution for the transient heating of an evaporating spherical droplet
• A Stefan problem for a non-classical heat equation with a convective condition
• A one-phase Stefan problem for a non-classical heat equation with a heat flux condition on the fixed face
• On the Melting of Ice Balls
• Asymptotic and Numerical Results for a Model of Solvent-Dependent Drug Diffusion through Polymeric Spheres
• A free boundary problem for the heat equation with prescribed flux at both fixed face and melting interface
• General One-Phase Stefan Problems and Free Boundary Problems for the Heat Equation with Cauchy Data Prescribed on the Free Boundary
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