The fourth-order nonlinear Schrodinger limit for quantum Zakharov system

被引：11
|
作者：
Fang, Yung-Fu [1 ]
Lin, Chi-Kun [2 ]
Segata, Jun-Ichi [3 ]
机构：
[1] Natl Cheng Kung Univ, Dept Math, 1 Dasyue Rd, Tainan 70101, Taiwan
[2] Xian Jiaotong Liverpool Univ, SIP, Dept Math Sci, Suzhou 215123, Jiansu, Peoples R China
[3] Tohoku Univ, Math Inst, Aoba Ku, 6-3 Aoba, Sendai, Miyagi 9808578, Japan
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2016年 / 67卷 / 06期
关键词：
Quantum Zakharov system; Convergence of solution; GLOBAL WELL-POSEDNESS; BLOW-UP SOLUTIONS; LANGMUIR TURBULENCE; EQUATIONS; DIMENSION-2; REGULARITY; EXISTENCE; ENERGY;
D O I：
10.1007/s00033-016-0740-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the quantum Zakharov system. We prove that when the ionic speed of sound goes to infinity, the solution to the fourth-order Schrodinger part of the quantum Zakharov system converges to the solution to quantum modified nonlinear Schrodinger equation.
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页数：27
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