Seminár z kvalitatívnej teórie diferenciálnych rovníc

Seminar on Qualitative Theory of Differential Equations

Thursday 1.3.2018 at 14:00 Lecture room M-223

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.