On the application of substochastic semigroup theory to fragmentation models with mass loss

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:284

Article

Banasiak, J ; Lamb, W

关键词: semigroups of operators;    abstract Cauchy problem;    multiple fragmentation with mass;   

DOI  :  10.1016/S0022-247X(03)00154-9

来源: Elsevier

【 摘 要 】

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. (C) 2003 Elsevier Inc. All rights reserved.

【 授权许可】

Free