Modelling silicosis: existence, uniqueness and basic properties of solutions

Detalhes bibliográficos
Autor(a) principal: Costa, Fernando Pestana da
Data de Publicação: 2021
Outros Autores: Pinto, João Teixeira, Sasportes, Rafael
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/10528
Resumo: We present a model for the silicosis disease mechanism following the original proposal by Tran et al. (1995), as modified recently by da Costa et al. (2020). The model consists in an infinite ordinary differential equation system of coagulation–fragmentation–death type. Results of existence, uniqueness, continuous dependence on the initial data and differentiability of solutions are proved for the initial value problem.
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spelling Modelling silicosis: existence, uniqueness and basic properties of solutionsCoagulation-fragmentation-death equationsModel of silicosisWell-posednessWe present a model for the silicosis disease mechanism following the original proposal by Tran et al. (1995), as modified recently by da Costa et al. (2020). The model consists in an infinite ordinary differential equation system of coagulation–fragmentation–death type. Results of existence, uniqueness, continuous dependence on the initial data and differentiability of solutions are proved for the initial value problem.FCT project CAMGSD UIDB/MAT/04459/2020ElsevierRepositório AbertoCosta, Fernando Pestana daPinto, João TeixeiraSasportes, Rafael2023-02-16T01:30:21Z2021-02-172021-02-17T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/10528engFernando P. da Costa, João T. Pinto, Rafael Sasportes, Modelling silicosis: Existence, uniqueness and basic properties of solutions, Nonlinear Analysis: Real World Applications, Volume 60, 2021, 103299, https://doi.org/10.1016/j.nonrwa.2021.103299.1468-121810.1016/j.nonrwa.2021.103299info: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:RCAAP2023-07-07T16:10:23ZPortal AgregadorONG
dc.title.none.fl_str_mv Modelling silicosis: existence, uniqueness and basic properties of solutions
title Modelling silicosis: existence, uniqueness and basic properties of solutions
spellingShingle Modelling silicosis: existence, uniqueness and basic properties of solutions
Costa, Fernando Pestana da
Coagulation-fragmentation-death equations
Model of silicosis
Well-posedness
title_short Modelling silicosis: existence, uniqueness and basic properties of solutions
title_full Modelling silicosis: existence, uniqueness and basic properties of solutions
title_fullStr Modelling silicosis: existence, uniqueness and basic properties of solutions
title_full_unstemmed Modelling silicosis: existence, uniqueness and basic properties of solutions
title_sort Modelling silicosis: existence, uniqueness and basic properties of solutions
author Costa, Fernando Pestana da
author_facet Costa, Fernando Pestana da
Pinto, João Teixeira
Sasportes, Rafael
author_role author
author2 Pinto, João Teixeira
Sasportes, Rafael
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Costa, Fernando Pestana da
Pinto, João Teixeira
Sasportes, Rafael
dc.subject.por.fl_str_mv Coagulation-fragmentation-death equations
Model of silicosis
Well-posedness
topic Coagulation-fragmentation-death equations
Model of silicosis
Well-posedness
description We present a model for the silicosis disease mechanism following the original proposal by Tran et al. (1995), as modified recently by da Costa et al. (2020). The model consists in an infinite ordinary differential equation system of coagulation–fragmentation–death type. Results of existence, uniqueness, continuous dependence on the initial data and differentiability of solutions are proved for the initial value problem.
publishDate 2021
dc.date.none.fl_str_mv 2021-02-17
2021-02-17T00:00:00Z
2023-02-16T01:30:21Z
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/10400.2/10528
url http://hdl.handle.net/10400.2/10528
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Fernando P. da Costa, João T. Pinto, Rafael Sasportes, Modelling silicosis: Existence, uniqueness and basic properties of solutions, Nonlinear Analysis: Real World Applications, Volume 60, 2021, 103299, https://doi.org/10.1016/j.nonrwa.2021.103299.
1468-1218
10.1016/j.nonrwa.2021.103299
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 Elsevier
publisher.none.fl_str_mv Elsevier
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
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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)
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repository.mail.fl_str_mv
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