Theoretical analysis of a discrete population balance model with sum kernel

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorKaushik, Sonali-
Autor(es): dc.creatorKumar, Rajesh-
Autor(es): dc.creatorCosta, Fernando Pestana da-
Data de aceite: dc.date.accessioned2025-08-21T15:28:07Z-
Data de disponibilização: dc.date.available2025-08-21T15:28:07Z-
Data de envio: dc.date.issued2024-11-14-
Data de envio: dc.date.issued2024-11-14-
Data de envio: dc.date.issued2023-05-18-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/16780-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/16780-
Descrição: dc.descriptionThe 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.-
Descrição: dc.descriptionScience and Engineering Research Board (SERB), Department of Science and Technology (DST), India, project MTR/2021/000866-
Descrição: dc.descriptioninfo:eu-repo/semantics/publishedVersion-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherEuropean Mathematical Society Press-
Relação: dc.relationhttps://ems.press/journals/pm/articles/10717485-
Direitos: dc.rightshttp://creativecommons.org/licenses/by/4.0/-
Palavras-chave: dc.subjectDiscrete population balance model-
Palavras-chave: dc.subjectSafronov–Dubovski coagulation equation-
Palavras-chave: dc.subjectOort–Hulst–Safronov equation-
Palavras-chave: dc.subjectExistence of solutions-
Palavras-chave: dc.subjectConservation of mass-
Palavras-chave: dc.subjectdifferentiability-
Título: dc.titleTheoretical analysis of a discrete population balance model with sum kernel-
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