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

Preview

Text. Filename: strathprints013379.pdf Accepted Author Manuscript Download (55kB)| 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.

• Share and Export
  

  RDF+XMLBibTeXRIOXX2 XMLRDF+N-TriplesJSONDublin CoreAtomSimple MetadataReferMETSHTML CitationASCII CitationOpenURL ContextObjectEndNoteOpenURL ContextObject in SpanMODSMPEG-21 DIDLEP3 XMLData Cite XMLRIS (EndNote Online, Zotero, Ref manager, etc)RDF+N3Multiline CSV
• Item metadata

  Item type:	Book Section
  ID code:	13379
  Dates:	Date Event 20 September 2008 Published
  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:	08 Apr 2024 12:32
  URI:	https://strathprints.strath.ac.uk/id/eprint/13379