The nonlinear Schrödinger limit and the initial layer of the Zakharov equations

Tohru Ozawa, Yoshio Tsutsumi, H. Brezis

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

We discuss the formation of the convergence of solutions for the Zakharov equations as the ion sound speed λ goes to infinity. We describe how the solutions tend to the corresponding solutions for the nonlinear Schrödinger equation and how the initial layer phenomena occur. A clear account is given of the relation between the convergence rate in λ and the formation of the initial layers.

Original languageEnglish
Pages (from-to)721-745
Number of pages25
JournalDifferential and Integral Equations
Volume5
Issue number4
Publication statusPublished - 1992
Externally publishedYes

Fingerprint

Convergence of Solutions
Nonlinear equations
Convergence Rate
Nonlinear Equations
Infinity
Acoustic waves
Tend
Ions
Sound

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

The nonlinear Schrödinger limit and the initial layer of the Zakharov equations. / Ozawa, Tohru; Tsutsumi, Yoshio; Brezis, H.

In: Differential and Integral Equations, Vol. 5, No. 4, 1992, p. 721-745.

Research output: Contribution to journalArticle

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