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http://dspace.bits-pilani.ac.in:8080/jspui/xmlui/handle/123456789/11308| Title: | Theoretical analysis of a discrete population balance Model for sum kernel |
| Authors: | Kumar, Rajesh |
| Keywords: | Mathematics Discrete Delay Polynomial Kernel |
| Issue Date: | Jun-2022 |
| Publisher: | ARXIV |
| Abstract: | The Oort-Hulst-Safronov equation, shorterned as OHS is a relevant population balance model. Its discrete form, developed by Dubovski is the main focus of our analysis. The existence and density conservation are established for the coagulation rate Vi,j 6 (i + j), 8i, j 2 N. Differentiability of the solutions is investigated for the kernel Vi,j 6 i + j where 0 6 6 1. The article finally deals with the uniqueness result that requires the boundedness of the second moment. |
| URI: | https://arxiv.org/pdf/2206.01965 http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11308 |
| Appears in Collections: | Department of Mathematics |
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