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Nonlinear Waves and Dispersive Equations

2024/10/17 by (:Unkn) Unknown
#510 #Konferenzschrift

paper · doi:10.34657/16057

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.

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