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Dynamics of a degenerate PDE model of epitaxial crystal growth Liu, Jian-Guo
Description
Epitaxial growth is an important physical process for forming solid films or other nano-structures. It occurs as atoms, deposited from above, adsorb and diffuse on a crystal surface. Modeling the rates that atoms hop and break bonds leads in the continuum limit to degenerate 4th-order PDE that involve exponential nonlinearity and the p-Laplacian with p=1, for example. We discuss a number of analytical results for such models, some of which involve subgradient dynamics for Radon measure solutions.
Item Metadata
Title |
Dynamics of a degenerate PDE model of epitaxial crystal growth
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-06-20T10:31
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Description |
Epitaxial growth is an important physical process for forming solid films or
other nano-structures. It occurs as atoms, deposited from above, adsorb and
diffuse on a crystal surface. Modeling the rates that atoms hop and break
bonds leads in the continuum limit to degenerate 4th-order PDE that involve exponential
nonlinearity and the p-Laplacian with p=1, for example. We discuss a number of
analytical results for such models, some of which involve subgradient dynamics
for Radon measure solutions.
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Extent |
27.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Duke University
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Series | |
Date Available |
2019-03-15
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0376906
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International