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Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/3498
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dc.contributor.authorDu, Yihongen
dc.contributor.authorHsu, Sze-Bien
dc.date.accessioned2009-11-30T16:45:00Z-
dc.date.issued2008-
dc.identifier.citationSIAM Journal on Mathematical Analysis, 40(4), p. 1441-1470en
dc.identifier.issn1095-7154en
dc.identifier.issn0036-1410en
dc.identifier.urihttps://hdl.handle.net/1959.11/3498-
dc.description.abstractThis is Part II of our study on the positive steady state of a quasi-linear reaction-diffusion system in one space dimension introduced by Klausmeier and Litchman for the modelling of the distributions of phytoplankton biomass and its nutrient. In Part I, we proved nearly optimal existence and nonexistence results. In Part II, we obtain complete descriptions of the profile of the solutions when the coefficient of the drifting term is large, rigorously proving the numerically observed phenomenon of concentration of biomass for this model. Moreover, we reveal four critical numbers for the model and provide further insights to the problem being modelled.en
dc.languageenen
dc.publisherSociety for Industrial and Applied Mathematicsen
dc.relation.ispartofSIAM Journal on Mathematical Analysisen
dc.titleConcentration Phenomena in a Nonlocal Quasi-linear Problem Modelling Phytoplankton II: Limiting profileen
dc.typeJournal Articleen
dc.identifier.doi10.1137/070706641en
dc.subject.keywordsMathematical Sciencesen
local.contributor.firstnameYihongen
local.contributor.firstnameSze-Bien
local.subject.for2008019999 Mathematical Sciences not elsewhere classifieden
local.subject.seo2008970101 Expanding Knowledge in the Mathematical Sciencesen
local.profile.schoolSchool of Science and Technologyen
local.profile.emailydu@une.edu.auen
local.output.categoryC1en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.identifier.epublicationsrecordpes:6759en
local.publisher.placeUnited States of Americaen
local.format.startpage1441en
local.format.endpage1470en
local.identifier.scopusid67749101333en
local.peerreviewedYesen
local.identifier.volume40en
local.identifier.issue4en
local.title.subtitleLimiting profileen
local.contributor.lastnameDuen
local.contributor.lastnameHsuen
dc.identifier.staffune-id:yduen
local.profile.orcid0000-0002-1235-0636en
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:3587en
dc.identifier.academiclevelAcademicen
local.title.maintitleConcentration Phenomena in a Nonlocal Quasi-linear Problem Modelling Phytoplankton IIen
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.search.authorDu, Yihongen
local.search.authorHsu, Sze-Bien
local.uneassociationUnknownen
local.identifier.wosid000263103500005en
local.year.published2008en
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