Faculty of Mathematics, Physics
and Informatics
Comenius University in Bratislava

Seminar on Qualitative Theory of Differential Equations - Anna Geyer (1.3.2018)

Thursday 1.3.2018 at 14:00 hod., Lecture room M/223


21. 02. 2018 15.08 hod.
By: Pavol Quittner

Anna Geyer (TU Delft):
Stability of periodic waves in the generalized reduced Ostrovsky equation


Abstract:
In this talk I will discuss stability and instability of periodic travelling wave solutions of the generalized reduced Ostrovsky equation. Using an argument based on the energy convexity and some dynamical systems techniques, I will show that all smooth periodic travelling waves are spectrally stable, independent of the nonlinearity power. In the second part of the talk I will discuss linear and nonlinear instability of peaked periodic waves.
This is joint work (in progress) with D. Pelinovsky.

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