Issue |
ESAIM: M2AN
Volume 34, Number 1, January/February 2000
|
|
---|---|---|
Page(s) | 109 - 125 | |
DOI | https://doi.org/10.1051/m2an:2000133 | |
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.
(galusins@math.u-bordeaux.fr)
Received:
12
November
1998
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
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