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Long-time behaviour of nonlinear growth-fragmentation equations
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 Geometric Analysis and Partial Differential Equations seminar series.
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