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Modelling silicosis: existence, uniqueness and basic properties of solutions

2021-02-17Journal article Open access
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dc.contributor.authorCosta, Fernando Pestana da
dc.contributor.authorPinto, João Teixeira
dc.contributor.authorSasportes, Rafael
dc.date.accessioned2021-02-26T11:50:32Z
dc.date.available2023-02-16T01:30:21Z
dc.date.issued2021-02-17
dc.description.abstractWe 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.pt_PT
dc.description.sponsorshipFCT project CAMGSD UIDB/MAT/04459/2020pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationFernando 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.pt_PT
dc.identifier.doi10.1016/j.nonrwa.2021.103299pt_PT
dc.identifier.issn1468-1218
dc.identifier.urihttp://hdl.handle.net/10400.2/10528
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/abs/pii/S1468121821000110?via%3Dihubpt_PT
dc.subjectCoagulation-fragmentation-death equationspt_PT
dc.subjectModel of silicosispt_PT
dc.subjectWell-posednesspt_PT
dc.titleModelling silicosis: existence, uniqueness and basic properties of solutionspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.conferencePlaceAmesterdãopt_PT
oaire.citation.titleNonlinear Analysis: Real World Applicationspt_PT
oaire.citation.volume60pt_PT
person.familyNameCosta
person.familyNameTeixeira Pinto
person.familyNameSasportes
person.givenNameFernando Pestana da
person.givenNameJoão
person.givenNameRafael
person.identifier.ciencia-id1610-6502-E6C5
person.identifier.ciencia-idDC16-AE64-30AE
person.identifier.orcid0000-0002-9072-797X
person.identifier.orcid0000-0003-0190-2113
person.identifier.orcid0000-0003-2855-9490
person.identifier.ridK-5942-2013
person.identifier.scopus-author-id14827970300
person.identifier.scopus-author-id7402584922
person.identifier.scopus-author-id24176381600
rcaap.embargofctO embargo por dois anos (24 meses) é uma imposição da editora.pt_PT
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication72748d24-0598-4f36-804e-87eebd0d06af
relation.isAuthorOfPublication378f92b2-9a55-4997-b135-4e099cd76d84
relation.isAuthorOfPublication51b5ae32-4da8-4e15-bdb6-f59ec776d293
relation.isAuthorOfPublication.latestForDiscovery72748d24-0598-4f36-804e-87eebd0d06af

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