Seminar 1.2.2018: Michael Winkler

Seminar on Qualitative Theory of Differential Equations
organized by P.Quittner, M.Fila and R.Kollar

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Seminar 1.2.2018: Michael Winkler

Postby quittner » Mon Jan 29, 2018 5:24 pm

Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations

Thursday 1.2.2018 at 14:00 Lecture room M-223

Michael Winkler (Universität Paderborn):
Emergence of large densities in chemotaxis-growth systems

Abstract:
We consider variants of the Keller-Segel system of chemotaxis
which contain logistic-type source terms and thereby account
for proliferation and death of cells.
The purpose of the presentation is to discuss how far even despite
such additional growth-inhibiting mechanisms, the destabilizing
action of chemotactic cross-diffusion therein is yet strong enough
so as to enforce the spontaneous emergence of large population densities.
quittner
 
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