Title	Viscosity solutions for the crystalline mean curvature flow
Creator	Pozar, Norbert
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-06-21T11:02
Description	In this talk I will present recent results concerning the level set formulation of the crystalline mean curvature flow. In a joint work with Yoshikazu Giga, we introduce a new notion of viscosity solutions for this problem and establish its well-posedness for compact crystals in an arbitrary dimension as well as the stability with respect to an approximation by a smooth anisotropic mean curvature flow. Since the crystalline mean curvature might not be defined even for smooth surfaces, we consider a restricted class of "faceted" test functions and show that it is sufficiently large to yield a general comparison principle.
Extent	28.0
Subject	Mathematics; Partial differential equations; Numerical analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Kanazawa University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-15
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376913
URI	http://hdl.handle.net/2429/68746
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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