On the application of substochastic semigroup theory to fragmentation models with mass loss |
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| Authors: | Jacek Banasiak Wilson Lamb |
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| Affiliation: | a Department of Mathematics and Applied Mathematics, University of Natal, Durban 4041, South Africa
b Department of Mathematics, University of Strathclyde, 26 Richmond St., Glasgow G1 1XH, Scotland, UK |
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| Abstract: | A linear integro-differential equation modelling multiple fragmentation with inherent mass loss is investigated by means of substochastic semigroup theory. The existence of a semigroup is established and, under natural conditions on certain coefficients, the generator of this semigroup is identified. This yields, in particular, a validation of the formal mass-loss rate equation for the model. |
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| Keywords: | Semigroups of operators Abstract Cauchy problem Multiple fragmentation with mass loss |
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