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.
|Commitee:||Dentcheva, Darinka, Li, Yi, Lukic, Vladimir|
|School:||Stevens Institute of Technology|
|School Location:||United States -- New Jersey|
|Source:||DAI-B 78/07(E), Dissertation Abstracts International|
|Keywords:||Condensing coagulation models|
Copyright in each Dissertation and Thesis is retained by the author. All Rights Reserved
The supplemental file or files you are about to download were provided to ProQuest by the author as part of a
dissertation or thesis. The supplemental files are provided "AS IS" without warranty. ProQuest is not responsible for the
content, format or impact on the supplemental file(s) on our system. in some cases, the file type may be unknown or
may be a .exe file. We recommend caution as you open such files.
Copyright of the original materials contained in the supplemental file is retained by the author and your access to the
supplemental files is subject to the ProQuest Terms and Conditions of use.
Depending on the size of the file(s) you are downloading, the system may take some time to download them. Please be