Author
Baird, G
Suli, E
Journal title
Journal of Mathematical Analysis and Applications
DOI
10.1016/j.jmaa.2018.12.048
Issue
1
Volume
473
Last updated
2024-03-27T19:24:26.087+00:00
Page
273-296
Abstract
Motivated by the occurrence of “shattering” mass-loss observed in purely continuous fragmentation models, this work concerns the development and the mathematical analysis of a new class of hybrid discrete-continuous fragmentation models. Once established, the model, which takes the form of an integro-differential equation coupled with a system of ordinary differential equations, is subjected to a rigorous mathematical analysis, using the theory and methods of operator semigroups and their generators. Most notably, by applying the theory relating to the Kato–Voigt perturbation theorem, honest substochastic semigroups and operator matrices, the existence of a unique, differentiable solution to the model is established. This solution is also shown to preserve nonnegativity and conserve mass.
Symplectic ID
953241
Favourite
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Publication type
Journal Article
Publication date
21 Dec 2018
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