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

Tohru Ozawa, Yoshio Tsutsumi, H. Brezis

Research output: Contribution to journalArticle

39 Scopus citations

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 (US)
Pages (from-to)721-745
Number of pages25
JournalDifferential and Integral Equations
Volume5
Issue number4
StatePublished - Jan 1 1992

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'The nonlinear Schrödinger limit and the initial layer of the Zakharov equations'. Together they form a unique fingerprint.

  • Cite this