Zakharov方程组半离散Fourier谱格式解的存在性  

Solutions Existence of Semi-discrete Fourier Spectral Scheme in the Zakharov Equations

作　　者：孙璐[1] 张法勇[2] 朱捷[1] 陈洪海[1] 王宏久[1] 

机构地区：[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

出　　处：《科技导报》2012年第1期73-75,共3页Science & Technology Review

基　　金：黑龙江省教育厅科研项目(12513081)

摘　　要：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。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.

关 键 词：ZAKHAROV方程组 Fourier谱格式 整体解 先验估计 

分 类 号：O241.6[理学—计算数学]