The electrostatic limit for the 3D Zakharov system

被引：0

作者：

Antonelli, Paolo ^{[1
]}

Forcella, Luigi ^{[2
]}

机构：

[1] Cran Sasso Sci Inst, CSSI, Viale F Crispi 7, I-67100 Laquila, Italy

[2] Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56126 Pisa, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 163卷

关键词：

Zakharov system; Singular limit; Dispersive equations; TIME-OSCILLATING NONLINEARITY; LANGMUIR TURBULENCE; SCHRODINGER-EQUATION; EXISTENCE;

D O I：

10.1016/j.na.2017.07.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the vectorial Zakharov system describing Langmuir waves in a weakly magnetized plasma. In its original derivation (Zakharov, 1972) the evolution for the electric field envelope is governed by a Schrodinger type equation with a singular parameter which is usually large in physical applications. Motivated by this, we study the rigorous limit as this parameter goes to infinity. By using some Strichartz type estimates to control separately the fast and slow dynamics in the problem, we show that the evolution of the electric field envelope is asymptotically constrained onto the space of irrotational vector fields. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：19 / 33

页数：15

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