Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/43805
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dc.contributor.authorKondratyev, Stanislav-
dc.contributor.authorMonsaingeon, Léonard-
dc.contributor.authorVorotnikov, Dmitry-
dc.date.accessioned2017-10-09T16:27:13Z-
dc.date.issued2016-
dc.identifier10.1016/j.jde.2016.05.012-
dc.identifier.urihttp://hdl.handle.net/10316/43805-
dc.description.abstractWe consider a fitness-driven model of dispersal of N interacting populations, which was previously studied merely in the case N=1. Based on some optimal transport distance recently introduced, we identify the model as a gradient flow in the metric space of Radon measures. We prove existence of global non-negative weak solutions to the corresponding system of parabolic PDEs, which involves degenerate cross-diffusion. Under some additional hypotheses and using a new multicomponent Poincaré–Beckner functional inequality, we show that the solutions converge exponentially to an ideal free distribution in the long time regime.por
dc.language.isoengpor
dc.publisherElsevierpor
dc.relationinfo:eu-repo/grantAgreement/FCT/5876/147205/PTpor
dc.rightsembargoedAccess-
dc.titleA fitness-driven cross-diffusion system from population dynamics as a gradient flowpor
dc.typearticle-
degois.publication.firstPage2784por
degois.publication.lastPage2808por
degois.publication.issue5por
degois.publication.titleJournal of Differential Equationspor
dc.relation.publisherversionhttps://doi.org/10.1016/j.jde.2016.05.012por
dc.peerreviewedyespor
dc.identifier.doi10.1016/j.jde.2016.05.012por
degois.publication.volume261por
dc.date.embargo2019-10-09T16:27:13Z-
item.languageiso639-1en-
item.grantfulltextopen-
item.fulltextCom Texto completo-
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais
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