Coagulation and fragmentation processes with evolving size and shape profiles: a semigroup approach

Wilson Lamb, Adam McBride, Ann Louise Smith

Research output: Contribution to journalArticle

149 Downloads (Pure)

Abstract

We investigate a class of bivariate coagulation-fragmentation equations. These equations describe the evolution of a system of particles that are characterised not only by a discrete size variable but also by a shape variable which can be either discrete or continuous. Existence and uniqueness of strong solutions to the associated abstract Cauchy problems are established by using the theory of substochastic semigroups of operators.
Original languageEnglish
Pages (from-to)5177-5187
Number of pages11
JournalDiscrete and Continuous Dynamical Systems - Series A
Volume33
Issue number11/12
Early online date16 May 2013
DOIs
Publication statusPublished - Nov 2013

Keywords

  • fragmentation process
  • coagulation–fragmentation
  • size profiles
  • semigroup approach
  • semilinear Cauchy problems
  • multicomponent coagulation-fragmentation processes
  • semigroups of operators

Fingerprint Dive into the research topics of 'Coagulation and fragmentation processes with evolving size and shape profiles: a semigroup approach'. Together they form a unique fingerprint.

  • Cite this