@inbook{e036486e083c48bdaadfa461d13841a8,

title = "Stability for a class of equilibrium solutions to the coagulation-fragmentation equation",

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.",

keywords = "coagulation–fragmentation, stability of equilibria, numerical analysis, applied mathematics",

author = "Wilson Lamb and Stewart, {Iain W.}",

year = "2008",

month = sep,

day = "20",

doi = "10.1063/1.2991091",

language = "English",

isbn = "9780735405769",

volume = "1048",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics",

pages = "942--945",

booktitle = "Numerical Analysis and Applied Mathematics",

edition = "1",

note = "International Conference on Numerical Analysis and Applied Mathematics 2008 ; Conference date: 16-09-2008 Through 20-09-2008",

}