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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.
| 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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