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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
|
| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2018-06-20T10:31
|
| 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.
|
| 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 |
2019-03-14
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0376906
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
|
| Scholarly Level |
Faculty
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International