Dissertation/Thesis Abstract

Mathematical theory of condensing coagulation
by Davidson, James, Ph.D., Stevens Institute of Technology, 2016, 88; 10189557
Abstract (Summary)

Solutions of condensing coagulation models are studied. An existence and uniqueness theorem for the discrete Safronov-Dubovski coagulation equation for classes of bounded and unbounded kernels is proved. Next, exact and self-similar solutions of a new continuous condensing coagulation model based on Safronov's continuous equation with the addition of a second coagulation process called inverse coagulation are investigated. Finally, solutions of the Lifshitz-Slyozov equation with encounters in the form of the previously introduced combined model are investigated and the long-time behavior of the solutions for three types of initial data are analyzed.

Indexing (document details)
Advisor: Dubovski, Pavel
Commitee: Dentcheva, Darinka, Li, Yi, Lukic, Vladimir
School: Stevens Institute of Technology
Department: Mathematics
School Location: United States -- New Jersey
Source: DAI-B 78/07(E), Dissertation Abstracts International
Subjects: Mathematics
Keywords: Condensing coagulation models
Publication Number: 10189557
ISBN: 978-1-369-57197-4
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