Seminar 20.2.2017: Pavel Drabek

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

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Seminar 20.2.2017: Pavel Drabek

Postby quittner » Mon Feb 06, 2017 11:51 am

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

Monday 20.2.2017 at 16:00 Lecture room M-223

Pavel Drábek (ZČU Plzeň):
Convergence to travelling waves in Fisher's population genetics model with a non-Lipschitzian reaction term

Abstract:
We consider the semilinear Fisher equation for the advance of an advantageous gene in biology.
Its nonsmooth reaction function f(u) allows for the introduction of travelling waves with a new profile.
We study existence, uniqueness, and long-time asymptotic behavior of the solutions of the initial value problem to a travelling wave.
quittner
 
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