A free boundary problem describing reaction-diffusion problems in chemical vapor infiltration of pyrolytic carbon
type: Item
instance of: scholarly article
title: A free boundary problem describing reaction-diffusion problems in chemical vapor infiltration of pyrolytic carbon
zbMATH Open document ID: 1052.35096
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-08-06T00:00:00Z
review text: Chemical vapor deposition in hot wall reactors is the most frequently used process to deposite materials with different functional and structural properties. The authors consider the deposition of pyrolytic carbon from light hydrocarbons such as methane. The corresponding mathematical model is a system of reaction-diffusion equations in a corner domain supplied with the Gibbs-Thomson law. The authors prove the existence of local in time solutions. To this end the authors use contraction type arguments and transforming the Gibbs-Thompson law to local coordinates in order to obtain a nonlinear parabolic equation on a manifold.
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 2082193
zbMATH Keywords: local in time solutions
zbMATH Keywords: Gibbs-Thomson law
zbMATH Keywords: contraction type argument
zbMATH Keywords: corner domain
author: W. Merz
author: Piotr Rybka
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: j.jmaa.2003.12.025
OpenAlex ID: W2055947608
cites work: ON CLASSICAL SOLVABILITY OF THE MULTIDIMENSIONAL STEFAN PROBLEM FOR CONVECTIVE MOTION OF A VISCOUS INCOMPRESSIBLE FLUID
cites work: Local existence and uniqueness of solutions of the Stefan problem with surface tension and kinetic undercooling
cites work: Q5520962
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cites work: Q5562267
DOI: 10.1016/J.JMAA.2003.12.025
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description: scientific article; zbMATH DE number 2082193