A SEMIGROUP APPROACH TO FRAGMENTATION MODELS

Authors
MCLAUGHLIN DJ LAMB W MCBRIDE AC
Citation
Dj. Mclaughlin et al., A SEMIGROUP APPROACH TO FRAGMENTATION MODELS, SIAM journal on mathematical analysis, 28(5), 1997, pp. 1158-1172
Citations number
20
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
28
Issue
5
Year of publication
1997
Pages
1158 - 1172
Database
ISI
SICI code
0036-1410(1997)28:5<1158:ASATFM>2.0.ZU;2-I
Abstract
An initial-value problem modelling fragmentation processes, where part icles split into two or more pieces, is studied using the theory of li near semigroups. The existence and uniqueness of nonnegative, mass-con serving solutions are established.