Weakly nonlinear wave equations with random initial data

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4 Scopus citations

Abstract

We discuss the derivation of the kinetic equation for the weakly nonlinear Schrödinger equation on the lattice ℤd and state a theorem, which establishes that the equilibrium time covariance is damped because of the nonlinearity. A more general space-time central limit theorem is discussed.

Original languageEnglish
Title of host publicationProceedings of the International Congress of Mathematicians 2010, ICM 2010
Pages2128-2143
Number of pages16
StatePublished - 2010
EventInternational Congress of Mathematicians 2010, ICM 2010 - Hyderabad, India
Duration: 19 Aug 201027 Aug 2010

Publication series

NameProceedings of the International Congress of Mathematicians 2010, ICM 2010

Conference

ConferenceInternational Congress of Mathematicians 2010, ICM 2010
Country/TerritoryIndia
CityHyderabad
Period19/08/1027/08/10

Keywords

  • Kinetic theory of wave equations

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