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An application of semigroup theory to a fragmentation equation

Blair, P.N. and Lamb, W. and Stewart, Iain W. (2004) An application of semigroup theory to a fragmentation equation. In: Integral Methods in Science and Engineering. Birkhauser, Boston, USA, pp. 19-24. ISBN 081764377X

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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.