Seminár z kvalitatívnej teórie diferenciálnych rovníc - Pavel Drábek (20.2.2017)

v pondelok 20.2.2017 o 16:00 hod. v posluchárni M/223

07. 02. 2017 12.18 hod.
Od: Pavol Quittner

Prednášajúci: Pavel Drábek (ZČU Plzeň)

Názov: Convergence to travelling waves in Fisher's population genetics model with a non-Lipschitzian reaction term

Termín: 20.2.2017, 16:00 hod., M/223

Abstrakt:
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.