Seminar on Qualitative Theory of Differential Equations - Anna Geyer (1.3.2018)
Thursday 1.3.2018 at 14:00 hod., Lecture room M/223
By: Pavol Quittner
Anna Geyer (TU Delft):
Stability of periodic waves in the generalized reduced Ostrovsky equation
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.