Analytic fragmentation semigroups and continuous coagulation–fragmentation equations with unbounded rates

Banasiak, Jacek and Lamb, Wilson (2012) Analytic fragmentation semigroups and continuous coagulation–fragmentation equations with unbounded rates. Journal of Mathematical Analysis and Applications, 391 (1). pp. 312-322. ISSN 0022-247X (https://doi.org/10.1016/j.jmaa.2012.02.002)

Abstract

n this paper we show that continuous fragmentation operators are sectorial for a large range of physically relevant fragmentation rates and use this fact to prove classical solvability of the combined coagulation–fragmentation equation with unbounded coagulation kernels.

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• Item metadata

  Item type:	Article
  ID code:	40672
  Dates:	Date Event 1 July 2012 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	02 Aug 2012 12:46
  Last modified:	08 Apr 2024 20:04
  URI:	https://strathprints.strath.ac.uk/id/eprint/40672