JournalsowrVol. 19, No. 2pp. 1661–1730

Nonlinear Waves and Dispersive Equations

  • Herbert Koch

    Universität Bonn, Germany

  • Pierre Raphaël

    Cambridge University, UK

  • Daniel Tataru

    University of California, Berkeley, USA

  • Monica Vișan

    University of California at 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 and general relativity and probability.

Cite this article

Herbert Koch, Pierre Raphaël, Daniel Tataru, Monica Vișan, Nonlinear Waves and Dispersive Equations. Oberwolfach Rep. 19 (2022), no. 2, pp. 1661–1730

DOI 10.4171/OWR/2022/30