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April  2010, 26(2): 691-712. doi: 10.3934/dcds.2010.26.691

Age-dependent equations with non-linear diffusion

Christoph Walker 1,

1. 

Leibniz Universität Hannover, Institut für Angewandte Mathematik, Welfengarten 1, D–30167 Hannover, Germany

Received  October 2008 Revised  April 2009 Published  October 2009

We consider the well-posedness of models involving age structure and non-linear diffusion. Such problems arise in the study of population dynamics. It is shown how diffusion and age boundary conditions can be treated that depend non-linearly and possibly non-locally on the density itself. The abstract approach is applied to concrete examples.
Keywords: Age structure, population models, non-linear diffusion, evolution systems..
Mathematics Subject Classification: Primary: 35M10, 35K90; Secondary: 92D2.
Citation: Christoph Walker. Age-dependent equations with non-linear diffusion. Discrete & Continuous Dynamical Systems, 2010, 26 (2) : 691-712. doi: 10.3934/dcds.2010.26.691
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