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Young Women in Harmonic Analysis and PDE

December 2-4, 2016

Anna Geyer (University of Vienna)

Spectral stability of periodic waves in the generalized reduced Ostrovsky equation

In this talk I will discuss the stability of periodic travelling wave solutions of the generalized reduced Ostrovsky equation with respect to co-periodic perturbations. Compared to recent literature, the approach presented here relies on a simple argument that proves spectral stability of all smooth periodic travelling waves for arbitrary amplitudes, independent of the nonlinearity power. The argument is based on energy convexity and monotonicity of the energy to period map.