Applied and Computational Mathematics Seminar

Seminar Details

Speaker:

Miguel Bustamante

Affiliation:

University College Dublin

Title:

Precession resonance mechanism in deep-water gravity surface waves

Time:

3PM Wednesday, September 14, 2016

Location:

Room H2.32, O'Brien Centre for Science

Abstract

Discovered by Bustamante et al. in 2014 in the context of planetary Rossby waves and published in Phys.Rev.Lett. in the same year, precession resonance is a mechanism whereby strong nonlinear energy transfers occur between modes of oscillations whose frequencies are detuned: the amplitude-dependent precession frequencies of the phases help restore the resonance, hence the name "precession resonance". This mechanism is robust, due to its connection with periodic orbits and invariant manifolds. We will discuss new applications on deep-water gravity surface waves, reporting transfer efficiencies of up to 40%, depending on the model options. To leading order, this effect is dominated by triad interactions at small (but finite) amplitudes.

References

1. M. D. Bustamante, B. Quinn, D. Lucas, Robust energy transfer mechanism via precession resonance in nonlinear turbulent wave systems, Phys. Rev. Lett. 113, 084502 (2014).
2. M. Buzzicotti, B. P. Murray, L. Biferale, M. D. Bustamante, Phase and precession evolution in the Burgers equation, Eur. Phys. J. E 39, 3 (2016).
3. D. Lucas, M. D. Bustamante, M. Perlin, Precession resonance in water waves, Preprint arXiv:1608.04241 (2016).

Return to 2016/17 seminar list