Long-time behaviour of nonlinear growth-fragmentation equations

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• Pierre Gabriel (Inria Lyon)
• Monday 06 August 2012, 16:00-17:00
• CMS, MR15.

If you have a question about this talk, please contact Prof. Mihalis Dafermos.

The evolution of a size-structured population in which individuals grow and split can be modeled with linear or nonlinear growth-fragmentation equations. If the recently developed General Relative Entropy techniques allow to well understand the long-time behaviour of the linear equation, the extension to nonlinear models remains very challenging. We will first present results concerning the linear equation. Then, by considering some particular coefficients, we will illustrate the variety of behaviours that the nonlinear equations can exhibit.

This talk is part of the Partial Differential Equations seminar series.

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