On a free boundary problem modelling inductive-heating processes
type: Item
instance of: scholarly article
title: On a free boundary problem modelling inductive-heating processes
zbMATH Open document ID: 1163.35499
DOI: 10.4171/IFB/193
author: Hong-Ming Yin
published in: Interfaces and Free Boundaries
publication date: 2009-01-29T00:00:00Z
full work available at URL: http://www.ems-ph.org/journals/show_pdf.php
review text: Summary: We study a free boundary problem describing a melting process by using induction heating. The mathematical model in one-space dimension consists of a coupled-parabolic system in each phase along with a non-equilibrium kinetic condition on the interface. By applying an energy estimate and a Campanato type of estimates, it is shown that the problem has a unique classical solution globally.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 5500361
zbMATH Keywords: free boundary problem
zbMATH Keywords: induction heating
zbMATH Keywords: superheating
MaRDI profile type: Publication
OpenAlex ID: W1983227968
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description: scientific article; zbMATH DE number 5500361