An application of semigroup theory to a fragmentation equation

P.N. Blair, W. Lamb, Iain W. Stewart, C. Constanda (Editor), M. Ahues (Editor), A. Largillier (Editor)

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The process of fragmentation arises in many physical situations, including polymer degradation, droplet breakage and rock crushing and grinding. Under suitable assumptions, the evolution of the size distribution c(x, t), where x represents particle size and t is time, may be described by the linear integro-differential equation.
LanguageEnglish
Title of host publicationIntegral Methods in Science and Engineering
Place of PublicationBoston, USA
Pages19-24
Number of pages6
Publication statusPublished - 2004

Fingerprint

breakage
crushing
grinding
droplet
fragmentation
polymer
particle size
degradation
rock

Keywords

  • mathematical analysis
  • fragmentation
  • mathematical models
  • particle size distribution
  • group theory
  • integral equations
  • differential equations
  • linear equations
  • particle size
  • degradation
  • polymers
  • crushing
  • droplets

Cite this

Blair, P. N., Lamb, W., Stewart, I. W., Constanda, C. (Ed.), Ahues, M. (Ed.), & Largillier, A. (Ed.) (2004). An application of semigroup theory to a fragmentation equation. In Integral Methods in Science and Engineering (pp. 19-24). Boston, USA.
Blair, P.N. ; Lamb, W. ; Stewart, Iain W. ; Constanda, C. (Editor) ; Ahues, M. (Editor) ; Largillier, A. (Editor). / An application of semigroup theory to a fragmentation equation. Integral Methods in Science and Engineering. Boston, USA, 2004. pp. 19-24
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Blair, PN, Lamb, W, Stewart, IW, Constanda, C (ed.), Ahues, M (ed.) & Largillier, A (ed.) 2004, An application of semigroup theory to a fragmentation equation. in Integral Methods in Science and Engineering. Boston, USA, pp. 19-24.

An application of semigroup theory to a fragmentation equation. / Blair, P.N.; Lamb, W.; Stewart, Iain W.; Constanda, C. (Editor); Ahues, M. (Editor); Largillier, A. (Editor).

Integral Methods in Science and Engineering. Boston, USA, 2004. p. 19-24.

Research output: Chapter in Book/Report/Conference proceedingChapter

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Blair PN, Lamb W, Stewart IW, Constanda C, (ed.), Ahues M, (ed.), Largillier A, (ed.). An application of semigroup theory to a fragmentation equation. In Integral Methods in Science and Engineering. Boston, USA. 2004. p. 19-24