Oberwolfach Reports

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Volume 14, Issue 2, 2017, pp. 1681–1745
DOI: 10.4171/OWR/2017/27

Published online: 2018-04-27

Nonlinear Waves and Dispersive Equations

Herbert Koch[1], Pierre Raphaël[2], Daniel Tataru[3] and Monica Vișan[4]

(1) Universität Bonn, Germany
(2) Université de Nice Sophia Antipolis, France
(3) University of California, Berkeley, USA
(4) UCLA, Los Angeles, USA

Nonlinear dispersive equations are models for nonlinear waves in a wide range of physical contexts. Mathematically they display an interplay between linear dispersion and nonlinear interactions, which can result in a wide range of outcomes from finite time blow-up to solitons and scattering. They are linked to many areas of mathematics and physics, ranging from integrable systems and harmonic analysis to fluid dynamics, geometry, general relativity and probability.

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Koch Herbert, Raphaël Pierre, Tataru Daniel, Vișan Monica: Nonlinear Waves and Dispersive Equations. Oberwolfach Rep. 14 (2017), 1681-1745. doi: 10.4171/OWR/2017/27