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.