Energy convergence for singular limits of Zakharov type systems

Nader Masmoudi, Kenji Nakanishi

Research output: Contribution to journalArticle

Abstract

We prove existence and uniqueness of solutions to the Klein-Gordon-Zakharov system in the energy space H 1×L 2 on some time interval which is uniform with respect to two large parameters c and α. These two parameters correspond to the plasma frequency and the sound speed. In the simultaneous high-frequency and subsonic limit, we recover the nonlinear Schrödinger system at the limit. We are also able to say more when we take the limits separately.

Original languageEnglish (US)
Pages (from-to)535-583
Number of pages49
JournalInventiones Mathematicae
Volume172
Issue number3
DOIs
StatePublished - Jun 2008

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Singular Limit
Type Systems
Energy
H-space
Existence and Uniqueness of Solutions
Two Parameters
Plasma
Nonlinear Systems
Interval

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Energy convergence for singular limits of Zakharov type systems. / Masmoudi, Nader; Nakanishi, Kenji.

In: Inventiones Mathematicae, Vol. 172, No. 3, 06.2008, p. 535-583.

Research output: Contribution to journalArticle

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