Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/43805
Title: A fitness-driven cross-diffusion system from population dynamics as a gradient flow
Authors: Kondratyev, Stanislav 
Monsaingeon, Léonard 
Vorotnikov, Dmitry 
Issue Date: 2016
Publisher: Elsevier
Project: info:eu-repo/grantAgreement/FCT/5876/147205/PT 
Serial title, monograph or event: Journal of Differential Equations
Volume: 261
Issue: 5
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.
URI: http://hdl.handle.net/10316/43805
Other Identifiers: 10.1016/j.jde.2016.05.012
DOI: 10.1016/j.jde.2016.05.012
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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