An application of semigroup theory to the coagulation-fragmentation models

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dc.contributor.authorDas, Arijit
dc.contributor.authorDas, Nilima
dc.contributor.authorSaha, Jitraj
dc.date.accessioned2026-10-05T09:25:43Z
dc.date.available2026-10-05T09:25:43Z
dc.date.issued2021-08-25
dc.description.abstractWe present the existence and uniqueness of strong solutions for the continuous coagulation-fragmentation equation with singular fragmentation and essentially bounded coagulation kernel using semigroup theory of operators. Initially, we reformulate the coupled coagulation-fragmentation problem into the semilinear abstract Cauchy problem (ACP) and consider it as the nonlinear perturbation of the linear fragmentation operator. The existence of the substochastic semigroup is proved for the pure fragmentation equation. Using the substochastic semigroup and some related results for the pure fragmentation equation, we prove the existence of global nonnegative, strong solution for the coagulation-fragmentation equation.
dc.identifier.issn13000098
dc.identifier.urihttps://doi.org/10.3906/mat-2101-114
dc.identifier.urihttp://nitt.ndl.gov.in/handle/123456789/303
dc.language.isoen
dc.publisherTUBITAK
dc.relation.ispartofseriesTurkish Journal of Mathematics; Vol. 3/ No. 1
dc.titleAn application of semigroup theory to the coagulation-fragmentation models
dc.typeArticle
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