Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/43805
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kondratyev, Stanislav | - |
dc.contributor.author | Monsaingeon, Léonard | - |
dc.contributor.author | Vorotnikov, Dmitry | - |
dc.date.accessioned | 2017-10-09T16:27:13Z | - |
dc.date.issued | 2016 | - |
dc.identifier.uri | https://hdl.handle.net/10316/43805 | - |
dc.description.abstract | We 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.iso | eng | por |
dc.publisher | Elsevier | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147205/PT | por |
dc.rights | embargoedAccess | - |
dc.title | A fitness-driven cross-diffusion system from population dynamics as a gradient flow | por |
dc.type | article | - |
degois.publication.firstPage | 2784 | por |
degois.publication.lastPage | 2808 | por |
degois.publication.issue | 5 | por |
degois.publication.title | Journal of Differential Equations | por |
dc.relation.publisherversion | https://doi.org/10.1016/j.jde.2016.05.012 | por |
dc.peerreviewed | yes | por |
dc.identifier.doi | 10.1016/j.jde.2016.05.012 | por |
dc.identifier.doi | 10.1016/j.jde.2016.05.012 | - |
degois.publication.volume | 261 | por |
dc.date.embargo | 2019-10-09T16:27:13Z | - |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
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a-fitness-driven.pdf | 300.64 kB | Adobe PDF | View/Open |
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