DISPERSIVE LIMIT OF THE EULER-POISSON SYSTEM IN HIGHER DIMENSIONS
被引:32
作者:
Pu, Xueke
论文数: 0引用数: 0
h-index: 0
机构:
Chongqing Univ, Dept Math, Chongqing, Peoples R China
Math Sci Res Inst, Chongqing, Peoples R ChinaChongqing Univ, Dept Math, Chongqing, Peoples R China
Pu, Xueke
[1
,2
]
机构:
[1] Chongqing Univ, Dept Math, Chongqing, Peoples R China
Euler-Poisson equation;
Kadomtsev-Petviashvili II equation;
Zakharov-Kuznetsov equation;
long wavelength limit;
KP-II EQUATION;
CRITICAL THRESHOLDS;
WELL-POSEDNESS;
CAUCHY-PROBLEM;
D O I:
10.1137/120875648
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper, we consider the dispersive limit of the Euler-Poisson system for ion-acoustic waves. We establish that under the Gardner-Morikawa type transformations, the solutions of the Euler-Poisson system converge globally to the Kadomtsev Petviashvili II (KP-II) equation in R-2 and the Zakharov-Kuznetsov equation (ZKE) in R-3 for well-prepared initial data, under different scalings. This justifies rigorously the KP-II limit and the ZKE limit of the Euler-Poisson equation.
机构:
Kings Coll London, London, England
Kings Coll London, Dept Math, London WC2S 2LR, EnglandKings Coll London, London, England
Hadzic, Mahir
Jang, Juhi
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机构:
Univ Southern Calif, Dept Math, Los Angeles, CA 90089 USA
Korea Inst Adv Study, Sch Math, Hoegiro 85, Seoul 130722, South KoreaKings Coll London, London, England
机构:
Kings Coll London, London, England
Kings Coll London, Dept Math, London WC2S 2LR, EnglandKings Coll London, London, England
Hadzic, Mahir
Jang, Juhi
论文数: 0引用数: 0
h-index: 0
机构:
Univ Southern Calif, Dept Math, Los Angeles, CA 90089 USA
Korea Inst Adv Study, Sch Math, Hoegiro 85, Seoul 130722, South KoreaKings Coll London, London, England