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科技导报 |研究论文 2012 , 30 (1) : 73 -75
Zakharov方程组半离散Fourier谱格式解的存在性
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孙璐1, 张法勇2, 朱捷1, 陈洪海1, 王宏久1
作者信息
    1. 黑龙江科技学院理学院,哈尔滨 150027;2. 黑龙江大学数学科学学院,哈尔滨 150080
Solutions Existence of Semi-discrete Fourier Spectral Scheme in the Zakharov Equations
  • SUN Lu1, ZHANG Fayong2, ZHU Jie1, CHEN Honghai1, WANG Hongjiu1
  • Affiliations
      1. College of Science, Heilongjiang Institute of Science and Technology, Harbin 150027, China;2. College of Mathematical Science, Heilongjiang University, Harbin 150080, China
    出版时间: 2012-01-08 doi: 10.3981/j.issn.1000-7857.2012.01.014
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    为了研究等离子体物理中Zakharov方程组数值方法解的适定性,本文针对Zakharov方程组的周期初值问题,首先在[0,T]上建立了半离散的Fourier谱格式;然后,证明了半离散Fourier谱格式具有守恒性质;最后,利用守恒性质对方程组的近似解进行先验估计,得到了整体解的存在性。
    Zakharov方程组  /  Fourier谱格式  /  整体解  /  先验估计
    In order to study well-posed problem of the numerical solutions method for Zakharov equations in plasma physics, first, according to the periodic initial value problem of the equations, a semi-discrete Fourier spectral scheme is constructed in the closed region of [0, T]. Second, the conservative property of the semi-discrete spectral scheme is proved. And at last, the conservative property is used to obtain the priori estimate of approximate solution and the existence of global solution for Zakharov equations.
    Zakharov equations  /  Fourier spectral scheme  /  global solution  /  priori estimate
    孙璐;张法勇;朱捷;陈洪海;王宏久. Zakharov方程组半离散Fourier谱格式解的存在性. 科技导报, 2012 , 30 (1) : 73 -75 . DOI: 10.3981/j.issn.1000-7857.2012.01.014
    SUN Lu;ZHANG Fayong;ZHU Jie;CHEN Honghai;WANG Hongjiu. Solutions Existence of Semi-discrete Fourier Spectral Scheme in the Zakharov Equations[J]. Science & Technology Review, 2012 , 30 (1) : 73 -75 . DOI: 10.3981/j.issn.1000-7857.2012.01.014

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    doi: 10.3981/j.issn.1000-7857.2012.01.014
    • 接收时间:2011-08-10
    • 首发时间:2012-01-08
    • 出版时间:2012-01-08
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    • 收稿日期:2011-08-10
    • 修回日期:2011-10-26
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