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