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)

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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.
Original languageEnglish
Title of host publicationIntegral Methods in Science and Engineering
Place of PublicationBoston, USA
Pages19-24
Number of pages6
Publication statusPublished - 2004

Keywords

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

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  • 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.