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2010, Volume 3, Issue 3: 457-471. Doi: 10.3934/krm.2010.3.457
This issue Previous Article The uniformly heated inelastic Boltzmann equation in Fourier space Next Article On permanent regimes for non-autonomous linear evolution equations in Banach spaces with applications to transport theory

Strengthened convergence of marginals to the cubic nonlinear Schrödinger equation

  • 1.

    Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road CB3 0WB Cambridge

Received:  January 31, 2010
Revised:  February 28, 2010
Published:  August 2010
Abstract Related Papers Cited by
    Abstract
  • We rewrite a recent derivation of the cubic non-linear Schrödinger equation by Adami, Golse, and Teta in the more natural form of the asymptotic factorisation of marginals at any fixed time and in the trace norm. This is the standard form in which the emergence of the non-linear effective dynamics of a large system of interacting bosons is proved in the literature.
    Mathematics Subject Classification: Primary: 70K99, 82C10, 82C22.

    Citation:
    shu

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