Coagulation and fragmentation with discrete mass loss

P.N. Blair, W. Lamb, I.W. Stewart

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A nonlinear integro-differential equation that models a coagulation and multiple fragmentation process in which discrete fragmentation mass loss can occur is examined using the theory of strongly continuous semigroups of operators. Under the assumptions that the coagulation kernel Click to view the MathML source is bounded and the fragmentation rate function a satisfies a linear growth condition, global existence and uniqueness of solutions that lose mass in accordance with the model are established. In the case when no coagulation is present and the fragmentation process is governed by power-law kernels, an explicit formula is given for the substochastic semigroup associated with the resulting mass-loss fragmentation equation.
LanguageEnglish
Pages1285-1302
Number of pages17
JournalJournal of Mathematical Analysis and Applications
Volume329
Issue number2
DOIs
Publication statusPublished - 2007

Fingerprint

Coagulation
Fragmentation
Integrodifferential equations
kernel
Semigroups of Operators
Nonlinear Integro-differential Equations
Strongly Continuous Semigroups
Rate Function
Existence and Uniqueness of Solutions
Growth Conditions
Global Existence
Explicit Formula
Power Law
Semigroup
Model

Keywords

  • Cauchy problem
  • coagulation
  • fragmentation
  • numerical mathematics

Cite this

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Coagulation and fragmentation with discrete mass loss. / Blair, P.N.; Lamb, W.; Stewart, I.W.

In: Journal of Mathematical Analysis and Applications, Vol. 329, No. 2, 2007, p. 1285-1302.

Research output: Contribution to journalArticle

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