Title	Mathematical issues in combining evolution and \(\Gamma\)-convergence: dangers in phase-field dynamics
Creator	Larsen, Christopher
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-03-04T11:32
Description	Mathematicians have generally not emphasized the difference between \(\Gamma\)-convergence and the convergence necessary for "approximate" dynamic solutions to converge to the correct limiting dynamics. I will discuss what properties limiting dynamic fracture models should have, and how \(\Gamma\)-convergence can fail to deliver them, with an emphasis on phase-field approximations and some surprising problems.
Extent	43.0 minutes
Subject	Mathematics; Mechanics of deformable solids; Calculus of variations and optimal control; optimization; Applied mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Worcester Polytechnic Institute
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-09-01
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0380757
URI	http://hdl.handle.net/2429/71572
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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