Oberwolfach Reports

Full-Text PDF (584 KB) | Introduction as PDF | Metadata | Table of Contents | OWR summary
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 Visan[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.

No keywords available for this article.

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