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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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