Please use this identifier to cite or link to this item:
https://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: | https://hdl.handle.net/10316/43805 | DOI: | 10.1016/j.jde.2016.05.012 10.1016/j.jde.2016.05.012 |
Rights: | embargoedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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