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

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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

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Coagulation
Fragmentation
Semigroup
Abstract Cauchy Problem
Semigroups of Operators
Strong Solution
Existence and Uniqueness
Profile
Class

Keywords

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

Cite this

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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.",
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Coagulation and fragmentation processes with evolving size and shape profiles : a semigroup approach. / Lamb, Wilson; McBride, Adam; Smith, Ann Louise.

In: Discrete and Continuous Dynamical Systems - Series A , Vol. 33, No. 11/12, 11.2013, p. 5177-5187.

Research output: Contribution to journalArticle

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AU - Smith, Ann Louise

N1 - updated page numbers

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AB - 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.

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KW - semigroup approach

KW - semilinear Cauchy problems

KW - multicomponent coagulation-fragmentation processes

KW - semigroups of operators

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