TY - JOUR
T1 - From the Klein-Gordon-Zakharov system to a singular nonlinear Schrödinger system
AU - Masmoudi, Nader
AU - Nakanishi, Kenji
N1 - Funding Information:
* Corresponding author. E-mail address: [email protected] (N. Masmoudi). 1 Partially supported by an NSF grant No. DMS-0703145.
PY - 2010
Y1 - 2010
N2 - In this paper, we continue our investigation of the high-frequency and subsonic limits of the Klein-Gordon-Zakharov system. Formally, the limit system is the nonlinear Schrödinger equation. However, for some special case of the parameters going to the limits, some new models arise. The main object of this paper is the derivation of those new models, together with convergence of the solutions along the limits.
AB - In this paper, we continue our investigation of the high-frequency and subsonic limits of the Klein-Gordon-Zakharov system. Formally, the limit system is the nonlinear Schrödinger equation. However, for some special case of the parameters going to the limits, some new models arise. The main object of this paper is the derivation of those new models, together with convergence of the solutions along the limits.
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U2 - 10.1016/j.anihpc.2010.02.002
DO - 10.1016/j.anihpc.2010.02.002
M3 - Article
AN - SCOPUS:77954216462
SN - 0294-1449
VL - 27
SP - 1073
EP - 1096
JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
IS - 4
ER -