Dissertation/Thesis Abstract

Two Models of Coagulation with Instantaneous Gelation
by Bechor, Elan, Ph.D., University of California, Berkeley, 2017, 59; 10621138
Abstract (Summary)

Two models of coagulation are presented: one, a system of coupled partial differential equations and the other microscopic Brownian particles. Both models feature a parameter that represents the tendency of two particles to coagulate at sufficiently close distances. Both models have a phase transition, viewed as the mass clumping together as a gel. Previous work has shown the models are connected, and in here we show that their phase transition to instantaneous gelation is connected as well.

Indexing (document details)
Advisor: Rezakhanlou, Fraydoun
Commitee: Christ, Michael, Packard, Andrew
School: University of California, Berkeley
Department: Mathematics
School Location: United States -- California
Source: DAI-B 79/05(E), Dissertation Abstracts International
Source Type: DISSERTATION
Subjects: Mathematics
Keywords: Coagulation, Instantaneous gelation, Two models
Publication Number: 10621138
ISBN: 9780355573886
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