A Stefan problem for the heat equation subject to an integral condition

zbMath0576.35121MaRDI QIDQ1065292

Elena Comparini, Domingo Alberto Tarzia

Publication date: 1985

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1985__73__119_0

zbMATH Keywords

stabilitycontractionStefan problemnonlinear integral equationunique solution

Mathematics Subject Classification ID

Heat equation (35K05) Free boundary problems for PDEs (35R35)

Related Items (3)

A nonlinear supercooled Stefan problem ⋮ On freezing of a finite humid porous medium with a heat flux condition ⋮ The existence of solutions for drying with coupled phase change in a porous medium

Cites Work

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• La diffusione del calore in uno strato di spessore variabile in presenza di scambi termici non lineari con l'ambiente. I: Deduzione di limitazioni a priori sulla temperatura e le sue derivate
• Remarks on a One-Dimensional Stefan Problem Related to the Diffusion-Consumption Model
• A free boundary problem for the heat equation with prescribed flux at both fixed face and melting interface
• Continuous dependence and differentiability properties of the solution of a free boundary problem for the heat equation

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