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| 一个推广的Zakharov系统的亚音速极限(英文) | |
| 引用本文： | 石启宏,杨建伟,王长有.一个推广的Zakharov系统的亚音速极限(英文)[J].应用数学,2012,25(1):167-173. |
| 作者姓名： | 石启宏 杨建伟 王长有 |
| 作者单位： | 1. 河北金融学院基础部,河北保定,071051 2. 华北水利水电学院数学与信息科学学院,河南郑州,450011 3. 重庆邮电大学数理学院,重庆,400065 |
| 基金项目： | Supported by the Natural Science Foundation for Colleges and Universities in HebeiProvince(Z2011111) |
| 摘 要： | 本文研究三维空间中一个具有阻尼项的推广的Zakharov系统的亚音速极限,给出从Zakharov到非线性Schrdinger方程形式极限的严格数学证明.利用弱紧性讨论和能量方法建立了弱收敛和强收敛结果.此外,还需指出,频率分解技术和Strichartz估计对强收敛性的证明是非常有用的. |
| 关 键 词： | Zakharov系统 亚音速极限 强收敛性 Strichartz估计 |
Subsonic Limit of a Generalized Zakharov System |
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| SHI Qihong , YANG Jianwei , WANG Changyou.Subsonic Limit of a Generalized Zakharov System[J].Mathematica Applicata,2012,25(1):167-173. | |
| Authors: | SHI Qihong YANG Jianwei WANG Changyou |
| Institution: | 1.Department of Basic Courses,Hebei Finance University,Baoding 071051,China;2.College of Mathematics and Information Science,North China University of Water Resources and Electric Power,Zhengzhou 450011,China;3.College of Mathematics and Physics,Chongqing University of Posts and Telecommunications,Chongqing 400065,China) |
| Abstract: | This paper is concerned with the subsonic limit of a generalized Zakharov system(GZS) in three space dimensions without or with a damping term.Rigorous mathematical justification in the formal limit from the solution of GZS to the one of nonlinear Schrdinger(NLS) equation is provided.Weak and strong convergence results are established by using the weak compactness argument and the energy method,respectively.On the other hand,frequency splitting and Strichartz estimates are available to prove the strong convergence. |
| Keywords: | Zakharov system Subsonic limit Strong convergence Strichartz estimate |
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