Volume 34, Number 1, January/February 2000
|Page(s)||109 - 125|
|Published online||15 April 2002|
A singular perturbation problem in a system of nonlinear Schrödinger equation occurring in Langmuir turbulence
Université Bordeaux I, Mathématiques Appliquées
Bordeaux, ESA 5466 CNRS,
351 cours de la libération, 33400 Talence, France.
Revised: 23 July 1999
The aim of this work is to establish, from a mathematical point of view, the limit α → +∞ in the system where . This corresponds to an approximation which is made in the context of Langmuir turbulence in plasma Physics. The L2-subcritical σ (that is σ ≤ 2/3) and the H1-subcritical σ (that is σ ≤ 2) are studied. In the physical case σ = 1, the limit is then studied for the norm.
Mathematics Subject Classification: 35B05 / 35B25 / 35L60
Key words: Nonlinear Schrödinger equation / singular perturbation.
© EDP Sciences, SMAI, 2000
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.