The continuous Redner–Ben-Avraham–Kahng coagulation system: well-posedness and asymptotic behaviour

Detalhes bibliográficos
Autor(a) principal: Verma, Pratibha
Data de Publicação: 2023
Outros Autores: Giri, Ankik Kumar, Costa, Fernando Pestana da
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/13549
Resumo: This paper examines the existence of solutions to the continuous Redner-Ben-Avraham-Kahng coagulation system under specific growth conditions on unbounded coagulation kernels at infinity. Moreover, questions related to uniqueness and continuous dependence on the data are also addressed under additional restrictions. Finally, the large-time behaviour of solutions is also investigated.
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spelling The continuous Redner–Ben-Avraham–Kahng coagulation system: well-posedness and asymptotic behaviourCoagulation equationsRedner–Ben-Avraham–Kahng coagulation systemExistence and uniqueness of solutionsLong-time behaviour of solutionsThis paper examines the existence of solutions to the continuous Redner-Ben-Avraham-Kahng coagulation system under specific growth conditions on unbounded coagulation kernels at infinity. Moreover, questions related to uniqueness and continuous dependence on the data are also addressed under additional restrictions. Finally, the large-time behaviour of solutions is also investigated.Council of Scientific and Industrial Research (CSIR), India, grant No. 09/143(0901)/2017-EMR-I. Fundação para a Ciência e Tecnologia (FCT), Portugal, projects CAMGSD UIDB/04459/2020 and UIDP/04459/2020.American Institute of Mathematical SciencesRepositório AbertoVerma, PratibhaGiri, Ankik KumarCosta, Fernando Pestana da2023-03-31T14:08:37Z2023-032023-03-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/13549engPratibha Verma, Ankik Kumar Giri, F. P. da Costa. The continuous Redner-Ben-Avraham-Kahng coagulation system: Well-posedness and asymptotic behaviour. Evolution Equations and Control Theory. doi: 10.3934/eect.202301010.3934/eect.20230102163-2480info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-16T15:45:33Zoai:repositorioaberto.uab.pt:10400.2/13549Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:52:33.789994Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv The continuous Redner–Ben-Avraham–Kahng coagulation system: well-posedness and asymptotic behaviour
title The continuous Redner–Ben-Avraham–Kahng coagulation system: well-posedness and asymptotic behaviour
spellingShingle The continuous Redner–Ben-Avraham–Kahng coagulation system: well-posedness and asymptotic behaviour
Verma, Pratibha
Coagulation equations
Redner–Ben-Avraham–Kahng coagulation system
Existence and uniqueness of solutions
Long-time behaviour of solutions
title_short The continuous Redner–Ben-Avraham–Kahng coagulation system: well-posedness and asymptotic behaviour
title_full The continuous Redner–Ben-Avraham–Kahng coagulation system: well-posedness and asymptotic behaviour
title_fullStr The continuous Redner–Ben-Avraham–Kahng coagulation system: well-posedness and asymptotic behaviour
title_full_unstemmed The continuous Redner–Ben-Avraham–Kahng coagulation system: well-posedness and asymptotic behaviour
title_sort The continuous Redner–Ben-Avraham–Kahng coagulation system: well-posedness and asymptotic behaviour
author Verma, Pratibha
author_facet Verma, Pratibha
Giri, Ankik Kumar
Costa, Fernando Pestana da
author_role author
author2 Giri, Ankik Kumar
Costa, Fernando Pestana da
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Verma, Pratibha
Giri, Ankik Kumar
Costa, Fernando Pestana da
dc.subject.por.fl_str_mv Coagulation equations
Redner–Ben-Avraham–Kahng coagulation system
Existence and uniqueness of solutions
Long-time behaviour of solutions
topic Coagulation equations
Redner–Ben-Avraham–Kahng coagulation system
Existence and uniqueness of solutions
Long-time behaviour of solutions
description This paper examines the existence of solutions to the continuous Redner-Ben-Avraham-Kahng coagulation system under specific growth conditions on unbounded coagulation kernels at infinity. Moreover, questions related to uniqueness and continuous dependence on the data are also addressed under additional restrictions. Finally, the large-time behaviour of solutions is also investigated.
publishDate 2023
dc.date.none.fl_str_mv 2023-03-31T14:08:37Z
2023-03
2023-03-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.2/13549
url http://hdl.handle.net/10400.2/13549
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Pratibha Verma, Ankik Kumar Giri, F. P. da Costa. The continuous Redner-Ben-Avraham-Kahng coagulation system: Well-posedness and asymptotic behaviour. Evolution Equations and Control Theory. doi: 10.3934/eect.2023010
10.3934/eect.2023010
2163-2480
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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