A two-soliton with transient turbulent regime for a focusing cubic nonlinear half-wave equation on the real line.

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• Oana Pocovnicu, Heriot-Watt University
• Friday 17 February 2017, 16:00-17:00
• Lecture Theater C, Watson Building.

If you have a question about this talk, please contact Dr. Maria Carmen Reguera.

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In this talk we consider a nonlocal focusing cubic half-wave equation on the real line. Evolution problems with nonlocal dispersion naturally arise in physical settings which include models for wave turbulence, continuum limits of lattice systems, and gravitational collapse. The goal of the talk is to present the construction of an asymptotic global-in-time modulated two-soliton solution of small mass, which exhibits the following two regimes: (i) a turbulent regime characterized by an explicit growth of high Sobolev norms on a finite time interval, followed by (ii) a stabilized regime in which the high Sobolev norms remain stationary large forever in time. This talk is based on joint work with P. Gerard (Orsay, France), E. Lenzmann (Basel, Switzerland), and P. Raphael (Nice, France)

This talk is part of the Analysis seminar series.

This talk is included in these lists:

• Analysis seminar
• Lecture Theater C, Watson Building
• School of Mathematics events

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