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

Lamb, W. and Stewart, I.W. (2008) Stability for a class of equilibrium solutions to the coagulation-fragmentation equation. In: Numerical Analysis and Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics. AIP Conference Proceedings, 1048 . American Institute of Physics, pp. 942-945. ISBN 978-0-7354-0576-9

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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.

Item type: Book Section
ID code: 13379
Notes: Numerical Analysis and Applied Mathematics. International Conference on Numerical Analysis and Applied Mathematics 2008 Psalidi, Kos , Greece, 16-20 September 2008
Keywords: coagulation–fragmentation, stability of equilibria, numerical analysis, applied mathematics, Probabilities. Mathematical statistics, Mathematics
Subjects: Science > Mathematics > Probabilities. Mathematical statistics
Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Mrs Carolynne Westwood
Date Deposited: 12 Nov 2009 10:44
Last modified: 26 Mar 2015 17:26
URI: http://strathprints.strath.ac.uk/id/eprint/13379

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