Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation
Banasiak, Jacek and Lamb, Wilson (2011) Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 141 (03). pp. 465-480.
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Official URL: https://doi.org/10.1017/S0308210509001255
Abstract
In this paper we give an elementary proof of the unique, global-in-time solvability of the coagulation-(multiple) fragmentation equation with polynomially bounded fragmentation and particle production rates and a bounded coagulation rate. The proof relies on a new result concerning domain invariance for the fragmentation semigroup which is based on a simple monotonicity argument.
Creators(s): |
Banasiak, Jacek and Lamb, Wilson ![]() | Item type: | Article |
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ID code: | 29093 |
Keywords: | semigroups of operators , coagulations, strong solutions, semilinear Cauchy problems, Probabilities. Mathematical statistics, Mathematics(all) |
Subjects: | Science > Mathematics > Probabilities. Mathematical statistics |
Department: | Faculty of Science > Mathematics and Statistics |
Depositing user: | Pure Administrator |
Date deposited: | 07 Mar 2011 23:25 |
Last modified: | 20 Jan 2021 19:10 |
URI: | https://strathprints.strath.ac.uk/id/eprint/29093 |
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