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 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
a-fitness-driven.pdf | 300.64 kB | Adobe PDF | View/Open |
SCOPUSTM
Citations
12
checked on Sep 23, 2024
WEB OF SCIENCETM
Citations
10
12
checked on Sep 2, 2024
Page view(s) 20
684
checked on Oct 1, 2024
Download(s)
181
checked on Oct 1, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.