Picture of neon light reading 'Open'

Discover open research at Strathprints as part of International Open Access Week!

23-29 October 2017 is International Open Access Week. The Strathprints institutional repository is a digital archive of Open Access research outputs, all produced by University of Strathclyde researchers.

Explore recent world leading Open Access research content this Open Access Week from across Strathclyde's many research active faculties: Engineering, Science, Humanities, Arts & Social Sciences and Strathclyde Business School.

Explore all Strathclyde Open Access research outputs...

Stability for a class of equilibrium solutions to the coagulation-fragmentation equation

Lamb, Wilson and Stewart, Iain W. (2008) Stability for a class of equilibrium solutions to the coagulation-fragmentation equation. In: Numerical Analysis and Applied Mathematics. AIP Conference Proceedings, 1048 . American Institute of Physics, pp. 942-945. ISBN 9780735405769

[img]
Preview
PDF (strathprints013379.pdf)
strathprints013379.pdf - Accepted Author Manuscript

Download (138kB) | Preview

Abstract

We consider the behaviour of solutions to the continuous constant-rate coagulation-fragmentation equation in the vicinity of an equilibrium solution. Semigroup methods are used to show that the governing linear equation for a perturbation epsilon(x,t) has a unique globally defined solution for suitable initial conditions. In addition, Laplace transforms and the method of characteristics lead to an explicit formula for epsilon. The long-term behavior of epsilon is also discussed.