| Hasegawa-Mima方程时间周期解的存在性 |
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| 引用本文： | 金珍.Hasegawa-Mima方程时间周期解的存在性[J].东莞理工学院学报,2012,19(1):1-5. |
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| 作者姓名： | 金珍 |
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| 作者单位： | 南昌工程学院理学系,南昌,330099 |
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| 基金项目： | 南昌工程学院青年基金项目（2010KJ025）. |
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| 摘 要： | 讨论一类带周期边界条件的二维Hasegawa-Mima方程,利用Galerkin方法和Leray-Schaude不动点定理,得到了当外力项f（x,yt,）关于时间t是周期函数时,所得到的解也是时间周期函数。
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| 关 键 词： | Hasegawa-Mima方程 时间周期解 Galerkin方法 Leray-Schaude不动点定理 |
Existence of Time Periodic Solution of the Hasegawa-Mima Equation |
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| JIN Zhen.Existence of Time Periodic Solution of the Hasegawa-Mima Equation[J].Journal of Dongguan Institute of Technology,2012,19(1):1-5. |
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| Authors: | JIN Zhen |
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| Institution: | JIN Zhen (Department of Science, Nanchang Institute of Technology, Nanchang 330099, China) |
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| Abstract: | In this paper, we discuss a 2-dimension Hasegawa-Mima equation with periodic boundary condition. By applying the Galerkin method and Leray-Schauder fixed point theorem, the existence of a time-periodic solution of the Hasegawa-Mima equation is proved when the forcing term.f（ x ,y,t）is periodic function of timer. |
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| Keywords: | Hasegawa-Mima equation time periodic solution Galerkin method Leray-Schauder fixed point theorem |
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