Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-27T13:02:26.445Z Has data issue: false hasContentIssue false
  • English
  • Français

Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation

Published online by Cambridge University Press:  03 June 2011

Jacek Banasiak  and
Wilson Lamb
Jacek Banasiak
Affiliation:
Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, UK
Wilson Lamb
Affiliation:
Department of Mathematics and Statistics, University of Strathclyde, 26 Richmond Street, Glasgow G1 1XH, UK (w.lamb@strath.ac.uk)
Get access Rights & Permissions [Opens in a new window]

Abstract

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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 3 , June 2011 , pp. 465 - 480
Copyright
Copyright © Royal Society of Edinburgh 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)