JournalsowrVol. 14, No. 2pp. 1681–1745

Nonlinear Waves and Dispersive Equations

  • Herbert Koch

    Universität Bonn, Germany

  • Pierre Raphaël

    Université de Nice Sophia Antipolis, France

  • Daniel Tataru

    University of California, Berkeley, USA

  • Monica Vișan

    UCLA, Los Angeles, USA
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Abstract

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.

Cite this article

Herbert Koch, Pierre Raphaël, Daniel Tataru, Monica Vișan, Nonlinear Waves and Dispersive Equations. Oberwolfach Rep. 14 (2017), no. 2, pp. 1681–1745

DOI 10.4171/OWR/2017/27