Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/33776

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dc.contributor.authorCarvalho, Filipepor
dc.contributor.authorPolewczak, Jacekpor
dc.contributor.authorSoares, A. J.por
dc.date.accessioned2015-02-10T16:15:56Z-
dc.date.available2015-02-10T16:15:56Z-
dc.date.issued2015-
dc.date.submitted2014-12-
dc.identifier.citationCarvalho, F., Polewczak, J., & Soares, A. J. (2015). Kinetic theory of simple reacting spheres: An application to coloring processes. Paper presented at the Springer Proceedings in Mathematics and Statistics.-
dc.identifier.isbn9783319166360por
dc.identifier.issn2194-1009por
dc.identifier.urihttp://hdl.handle.net/1822/33776-
dc.description.abstractWe consider a simplified version of the kinetic model of simple reacting spheres (SRS) for a quaternary reactive mixture of hard-spheres in the dilute-gas limit. The model mimics a coloring process occurring with probability aR, described by the reversible chemical law A1 + A2 = A3 + A4. We provide the linearized collisional operators of our model and investigate some of their mathematical properties. In particular we obtain an explicit and symmetric representation of the elastic and reactive kernels and use this to prove the compactness of the linearized collisional operator in (L2(R^3))^4.por
dc.description.sponsorshipFundação para a Ciência e a Tecnologia (FCT)por
dc.description.sponsorshiphttp://www.springer.com/gp/book/9783319166360#otherVersion=9783319166377por
dc.language.isoengpor
dc.publisherSpringer Verlagpor
dc.relationPEstOE/MAT/UI0013/2014-
dc.rightsopenAccesspor
dc.subjectKinetic theorypor
dc.subjectReactive systemspor
dc.subjectLinearized operatorpor
dc.subjectCompactness propertiespor
dc.subjectChemically reacting mixturespor
dc.subjectLinearized Boltzmann equationpor
dc.subjectSimple reacting spherespor
dc.subjectCompact operatorspor
dc.titleKinetic theory of simple reacting spheres : an application to coloring processespor
dc.typeconferencePaper-
dc.peerreviewedyespor
sdum.publicationstatuspublishedpor
oaire.citationConferenceDate12 - 13 dez. 2013por
sdum.event.typeconferencepor
oaire.citationStartPage153por
oaire.citationEndPage333por
oaire.citationConferencePlaceBraga, Portugalpor
oaire.citationTitleInternational Meeting on Particle Systems and PDE's - IIpor
oaire.citationVolume129por
dc.identifier.doi10.1007/978-3-319-16637-7_4por
dc.subject.fosCiências Naturais::Matemáticaspor
dc.subject.wosScience & Technologypor
sdum.journalSpringer Proceedings in Mathematics & Statisticspor
sdum.conferencePublicationInternational Meeting on Particle Systems and PDE's - IIpor
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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