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Effects of periodic homogenization in phase transition problems Hagerty, Adrian
Description
We present a variant of the Cahn-Hilliard energy model for immiscible fluids which incorporates the effect of periodic heterogeneity at small scales. We describe the asymptotic behavior of minimizers using Gamma convergence methods. This talk will address some of the major difficulties in passing to a homogenized limit, which will require heavy exploitation of the self-symmetries of the N-dimensional integer lattice. This is a joint work with Riccardo Cristoferi and Irene Fonseca.
Item Metadata
Title |
Effects of periodic homogenization in phase transition problems
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-05-22T15:40
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Description |
We present a variant of the Cahn-Hilliard energy model for immiscible fluids which incorporates the effect of periodic heterogeneity at small scales. We describe the asymptotic behavior of minimizers using Gamma convergence methods. This talk will address some of the major difficulties in passing to a homogenized limit, which will require heavy exploitation of the self-symmetries of the N-dimensional integer lattice.
This is a joint work with Riccardo Cristoferi and Irene Fonseca.
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Extent |
24.0
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Carnegie Mellon University
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Series | |
Date Available |
2019-03-21
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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 |
10.14288/1.0377252
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Graduate
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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