Lamb, W. and Stewart, I.W. (2008) Stability for a class of equilibrium solutions to the coagulationfragmentation equation. In: Numerical Analysis and Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics. AIP Conference Proceedings, 1048 . American Institute of Physics, pp. 942945. ISBN 9780735405769

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Abstract
We consider the behaviour of solutions to the continuous constantrate coagulationfragmentation 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 longterm 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, 1620 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:  21 May 2015 18:59 
Related URLs:  
URI:  http://strathprints.strath.ac.uk/id/eprint/13379 
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