کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4609326 1338506 2016 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A fitness-driven cross-diffusion system from population dynamics as a gradient flow
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
A fitness-driven cross-diffusion system from population dynamics as a gradient flow
چکیده انگلیسی

We consider a fitness-driven model of dispersal of N   interacting populations, which was previously studied merely in the case N=1N=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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 261, Issue 5, 5 September 2016, Pages 2784–2808
نویسندگان
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