From the Klein-Gordon-Zakharov system to a singular nonlinear Schrödinger system

Nader Masmoudi, Kenji Nakanishi

Research output: Contribution to journalArticle

Abstract

In this paper, we continue our investigation of the high-frequency and subsonic limits of the Klein-Gordon-Zakharov system. Formally, the limit system is the nonlinear Schrödinger equation. However, for some special case of the parameters going to the limits, some new models arise. The main object of this paper is the derivation of those new models, together with convergence of the solutions along the limits.

Original languageEnglish (US)
Pages (from-to)1073-1096
Number of pages24
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume27
Issue number4
DOIs
StatePublished - 2010

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Applied Mathematics

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