Publication
Theoretical analysis of a discrete population balance model with sum kernel
| dc.contributor.author | Kaushik, Sonali | |
| dc.contributor.author | Kumar, Rajesh | |
| dc.contributor.author | Costa, Fernando Pestana da | |
| dc.date.accessioned | 2024-11-15T14:03:20Z | |
| dc.date.available | 2024-11-15T14:03:20Z | |
| dc.date.issued | 2023-05-18 | |
| dc.description.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 nonnegative symmetric coagulation rates satisfying V_{i;j} \leq i + j , \forall i, j \in N. Differentiability of the solutions is investigated for kernels with V_{i;j} \leq i^\apha + j^\alpha˛ where 0 \leq \alpha \leq 1 with initial conditions with bounded (1+\alpha)-th moments. The article ends with a uniqueness result under an additional assumption on the coagulation kernel and the boundedness of the second moment. | pt_PT |
| dc.description.sponsorship | Science and Engineering Research Board (SERB), Department of Science and Technology (DST), India, project MTR/2021/000866 | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Sonali Kaushik, Rajesh Kumar, Fernando P. da Costa, Theoretical analysis of a discrete population balance model with sum kernel. Port. Math. 80 (2023), no. 3/4, pp. 343–367 | pt_PT |
| dc.identifier.doi | 10.4171/pm/2103 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.2/16780 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | European Mathematical Society Press | pt_PT |
| dc.relation.publisherversion | https://ems.press/journals/pm/articles/10717485 | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt_PT |
| dc.subject | Discrete population balance model | pt_PT |
| dc.subject | Safronov–Dubovski coagulation equation | pt_PT |
| dc.subject | Oort–Hulst–Safronov equation | pt_PT |
| dc.subject | Existence of solutions | pt_PT |
| dc.subject | Conservation of mass | pt_PT |
| dc.subject | differentiability | pt_PT |
| dc.title | Theoretical analysis of a discrete population balance model with sum kernel | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Base/UIDB%2F04459%2F2020/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Programático/UIDP%2F04459%2F2020/PT | |
| oaire.citation.endPage | 367 | pt_PT |
| oaire.citation.issue | 3 | pt_PT |
| oaire.citation.startPage | 343 | pt_PT |
| oaire.citation.title | Portugaliae Mathematica | pt_PT |
| oaire.citation.volume | 80 | pt_PT |
| oaire.fundingStream | Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017/2018) - Financiamento Base | |
| oaire.fundingStream | Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017/2018) - Financiamento Programático | |
| person.familyName | Kaushik | |
| person.familyName | Costa | |
| person.givenName | Sonali | |
| person.givenName | Fernando Pestana da | |
| person.identifier.ciencia-id | 1610-6502-E6C5 | |
| person.identifier.orcid | 0000-0003-4628-0928 | |
| person.identifier.orcid | 0000-0002-9072-797X | |
| person.identifier.rid | K-5942-2013 | |
| person.identifier.scopus-author-id | 57468428300 | |
| person.identifier.scopus-author-id | 14827970300 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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