Growth–fragmentation–coagulation equations with unbounded coagulation kernels

dc.contributor.authorBanasiak, Jacek
dc.contributor.authorLamb, W.
dc.contributor.emailjacek.banasiak@up.ac.zaen_ZA
dc.date.accessioned2021-09-17T06:04:51Z
dc.date.available2021-09-17T06:04:51Z
dc.date.issued2020-11
dc.description.abstractIn this paper, we prove the global in time solvability of the continuous growth–fragmentation–coagulation equation with unbounded coagulation kernels, in spaces of functions having finite moments of sufficiently high order. The main tool is the recently established result on moment regularization of the linear growth–fragmentation semigroup that allows us to consider coagulation kernels whose growth for large clusters is controlled by how good the regularization is, in a similar manner to the case when the semigroup is analytic.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.librarianhj2021en_ZA
dc.description.sponsorshipThe NRF of South Africa and the National Science Centre, Poland.en_ZA
dc.description.urihttp://rsta.royalsocietypublishing.orgen_ZA
dc.identifier.citationBanasiak, J. & Lamb, W. 2020, 'Growth–fragmentation–coagulation equations with unbounded coagulation kernels', Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 378, no. 2185.en_ZA
dc.identifier.issn1364-503X (print)
dc.identifier.issn1471-2962 (online)
dc.identifier.other10.1098/rsta.2019.0612
dc.identifier.urihttp://hdl.handle.net/2263/81892
dc.language.isoenen_ZA
dc.publisherRoyal Societyen_ZA
dc.rights© 2020 The Author(s). Published by the Royal Society. All rights reserved.en_ZA
dc.subjectGrowth–fragmentation–coagulation equationen_ZA
dc.subjectUnbounded coagulation kernelsen_ZA
dc.subjectRegularizationen_ZA
dc.subjectC0-semigroupsen_ZA
dc.subjectSemilinear problemsen_ZA
dc.titleGrowth–fragmentation–coagulation equations with unbounded coagulation kernelsen_ZA
dc.typePostprint Articleen_ZA

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