On the limit behavior of the magnetic Zakharov system

被引：4
|
作者：
Han LiJia [1 ]
Zhang JingJun [2 ]
Gan ZaiHui [3 ]
Guo BoLing [4 ]
机构：
[1] N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
[2] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Peoples R China
[3] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610068, Peoples R China
[4] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2012年 / 55卷 / 03期
基金：
中国国家自然科学基金;
关键词：
magnetic Zakharov system; Zakharov system; Schrodinger equation with magnetic effect; Cauchy problem; limit behavior; NONLINEAR SCHRODINGER-EQUATION; BLOW-UP SOLUTIONS; LANGMUIR TURBULENCE; CAUCHY-PROBLEM; KLEIN-GORDON; WELL-POSEDNESS; PLASMA; FIELDS; DIMENSION-2; EXISTENCE;
D O I：
10.1007/s11425-011-4325-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove that the solutions of magnetic Zakharov system converge to those of generalized Zakharov system in Sobolev space H (s) , s > 3/2, when parameter beta -> a. Further, when parameter (alpha, beta) -> a together, we prove that the solutions of magnetic Zakharov system converge to those of Schrodinger equation with magnetic effect in Sobolev space H (s) , s > 3/2. Moreover, the convergence rate is also obtained.
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页码：509 / 540
页数：32
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