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Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17617
Title: Theoretical analysis of a discrete population balance model with sum kernel
Authors: Kumar, Rajesh
Keywords: Mathematics
Discrete population balance model
Safronov–Dubovski coagulation equation
Oort–Hulst–Safronov equation
Issue Date: May-2023
Publisher: EMS Press
Abstract: The Oort–Hulst–Safronov equation is a relevant population balance model. Its discrete form, developed by Pavel Dubovski, is the main focus of our analysis. The existence and density conservation are established for non-negative symmetric coagulation rates satisfying Vi,j​⩽i+j, ∀i,j∈N. Differentiability of the solutions is investigated for kernels with Vi,j​⩽iα+jα where 0⩽α⩽1 with initial conditions with bounded (1+α)-th moments. The article ends with a uniqueness result under an additional assumption on the coagulation kernel and the boundedness of the second moment
URI: https://ems.press/journals/pm/articles/10717485
http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17617
Appears in Collections:Department of Mathematics

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