数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (4): 1455-1466.doi: 10.1016/S0252-9602(12)60115-5

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INITIAL BOUNDARY VALUE PROBLEM FOR MODIFIED ZAKHAROV EQUATIONS

游淑军1,2*|郭柏灵3|宁效琦2   

  1. 1. School of Mathematical Science and Computing Technology, Central South University, Changsha 410083, China;
    2. Department of Mathematics, Huaihua University, Huaihua 418008, China;
    3. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • 收稿日期:2010-11-02 修回日期:2011-10-26 出版日期:2012-07-20 发布日期:2012-07-20
  • 通讯作者: 游淑军,ysj980@yahoo.com.cn E-mail:ysj980@yahoo.com.cn; gbl@iapcm.ac.cn; nxq06@yahoo.cn
  • 基金资助:

    A Project Supported by Scientific Research Fund of Hunan Provincial Education Department (10C1056), Scientific Research Found of Huaihua University (HHUY2011-01).

INITIAL BOUNDARY VALUE PROBLEM FOR MODIFIED ZAKHAROV EQUATIONS

 YOU Shu-Jun1,2*, GUO Bai-Ling3, NING Xiao-Qi2   

  1. 1. School of Mathematical Science and Computing Technology, Central South University, Changsha 410083, China;
    2. Department of Mathematics, Huaihua University, Huaihua 418008, China;
    3. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2010-11-02 Revised:2011-10-26 Online:2012-07-20 Published:2012-07-20
  • Contact: YOU Shu-Jun,ysj980@yahoo.com.cn E-mail:ysj980@yahoo.com.cn; gbl@iapcm.ac.cn; nxq06@yahoo.cn
  • Supported by:

    A Project Supported by Scientific Research Fund of Hunan Provincial Education Department (10C1056), Scientific Research Found of Huaihua University (HHUY2011-01).

摘要:

In this paper the authors consider the existence and uniqueness of the solution to the initial boundary value problem for a class of modified Zakharov equations, prove the global existence of the solution to the problem by a priori integral estimates and Galerkin method.

关键词: Zakharov equations, modified Zakharov equations, initial boundary value problem, existence of global solution

Abstract:

In this paper the authors consider the existence and uniqueness of the solution to the initial boundary value problem for a class of modified Zakharov equations, prove the global existence of the solution to the problem by a priori integral estimates and Galerkin method.

Key words: Zakharov equations, modified Zakharov equations, initial boundary value problem, existence of global solution

中图分类号: 

  • 35A05