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Published online: 2018-04-27
Nonlinear Waves and Dispersive EquationsHerbert Koch, Pierre Raphaël, Daniel Tataru and Monica Visan (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, Visan Monica: Nonlinear Waves and Dispersive Equations. Oberwolfach Rep. 14 (2017), 1681-1745. doi: 10.4171/OWR/2017/27