Construction of blow-up solutions for Zakharov system on T2

Nobu Kishimoto, Masaya Maeda

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We consider the Zakharov system in two space dimension with periodic boundary condition:{i∂tu=-Δu+nu,∂ttn= Δn+Δ|u|2,(t,x)∈[0,T)×T2. We prove the existence of finite time blow-up solutions of (Z). Further, we show there exists no minimal mass blow-up solution.

Original languageEnglish
Pages (from-to)791-824
Number of pages34
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume30
Issue number5
DOIs
Publication statusPublished - 2013 Jan 1

Keywords

  • Blow-up solution
  • Minimal mass blow-up solution
  • Modified energy
  • Zakharov system

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Applied Mathematics

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