Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation

Jacek Banasiak; Wilson Lamb

doi:10.1017/S0308210509001255

Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation

Jacek Banasiak, Wilson Lamb

Mathematics And Statistics

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26 Citations (Scopus)

110 Downloads (Pure)

Abstract

In this paper we give an elementary proof of the unique, global-in-time solvability of the coagulation-(multiple) fragmentation equation with polynomially bounded fragmentation and particle production rates and a bounded coagulation rate. The proof relies on a new result concerning domain invariance for the fragmentation semigroup which is based on a simple monotonicity argument.

Original language	English
Pages (from-to)	465-480
Number of pages	16
Journal	Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Volume	141
Issue number	03
Early online date	3 Jun 2011
DOIs	https://doi.org/10.1017/S0308210509001255
Publication status	Published - Jun 2011

Keywords

semigroups of operators
coagulations
strong solutions
semilinear Cauchy problems

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10.1017/S0308210509001255

Momcoagrserev 2 Submitted manuscript, 171 KB

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title = "Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation",

abstract = "In this paper we give an elementary proof of the unique, global-in-time solvability of the coagulation-(multiple) fragmentation equation with polynomially bounded fragmentation and particle production rates and a bounded coagulation rate. The proof relies on a new result concerning domain invariance for the fragmentation semigroup which is based on a simple monotonicity argument.",

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KW - semigroups of operators

KW - coagulations

KW - strong solutions

KW - semilinear Cauchy problems

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JO - Proceedings of the Royal Society of Edinburgh: Section A Mathematics

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Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation

Abstract

Keywords

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