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

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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 (1). American Institute of Physics, GRC, pp. 942-945. ISBN 9780735405769 (https://doi.org/10.1063/1.2991091)

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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.

ORCID iDs

Lamb, Wilson ORCID logoORCID: https://orcid.org/0000-0001-8084-6054 and Stewart, Iain W. ORCID logoORCID: https://orcid.org/0000-0002-4374-9842;
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