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Title:Interface Dynamics
Author(s):Song, Minsu
Doctoral Committee Chair(s):Jerrard, Robert L.
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:We present an axiomatic approach to certain geometric evolution problems and associated level set PDEs. We also study threshold dynamics on Rn and cellular automata on certain lattices which satisfy monotonicity, translation invariance and finite propagation speed. We develop the general schemes for the convergence of threshold dynamics and cellular automata to geometric evolutions governed by a velocity function depending on the normal direction alone.
Issue Date:2003
Type:Text
Language:English
Description:56 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.
URI:http://hdl.handle.net/2142/86814
Other Identifier(s):(MiAaPQ)AAI3086183
Date Available in IDEALS:2015-09-28
Date Deposited:2003


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