Title	Variational Methods for Crystal Surface Instability
Creator	Fonseca, Irene
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2013-07-19
Description	Using the calculus of variations it is shown that important qualitative features of the equilibrium shape of a material void in a linearly elastic solid may be deduced from smoothness and convexity properties of the interfacial energy.\\r\\nIn addition, short time existence, uniqueness, and regularity for an\\r\\nanisotropic surface diffusion evolution equation with curvature\\r\\nregularization are proved in the context of epitaxially strained\\r\\ntwo-dimensional films. This is achieved by using the $H^{-1}$-gradient flow structure of the evolution law, via De Giorgi\\\'s minimizing movements. This seems to be the first short time existence result for a surface diffusion type geometric evolution equation in the presence of elasticity.
Extent	40 minutes
Subject	Mathematics; Mechanics of deformable solids; Calculus of variations and optimal control; optimization; Applied analysis / inverse problems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Center for Nonlinear Analysis
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2014-08-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivs 2.5 Canada
DOI	10.14288/1.0056632
URI	http://hdl.handle.net/2429/49256
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
Aggregated Source Repository	DSpace

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Variational Methods for Crystal Surface Instability Fonseca, Irene

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