| RESEARCH ANNOUNCEMENTS——Dynamical Behavior for the Three-dimensional Generalized Hasegawa-Mima Equations |
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| 引用本文： | 张瑞凤.RESEARCH ANNOUNCEMENTS——Dynamical Behavior for the Three-dimensional Generalized Hasegawa-Mima Equations[J].数学进展,2007,36(2):253-255. |
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| 作者姓名： | 张瑞凤 |
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| 作者单位： | College of Mathematics and Information Science, Henan University, Kaifeng, Henan, 475001, P. R. China |
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| 摘 要： | We consider the following generalized three-dimensional （3-D） dissipative Hasegawa-Mima equations：
△ut - ut ＋ {u, △u} ＋ knuy - vz ＋ α△（u - △u） ＋ f（x, y, z） = 0, （1）
vt ＋ {u, v} ＋ uz ＋ γv - β△v = g（x, y, z） （2）
with initial datum
v｜t=0=u0（x,y,z）,v｜t=0=v0（x,y,z）,（x,y,z）∈Ω∈R^3 （3）.
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| 关 键 词： | 三阶广义Hasegawa-Mima方程 偏微分方程 解法 数学分析 |
| 收稿时间： | 2006-12-22 |
| 修稿时间： | 2006年12月22 |
Dynamical Behavior for the Three-dimensional Generalized Hasegawa-Mima Equations |
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| ZHANG Ruifeng.Dynamical Behavior for the Three-dimensional Generalized Hasegawa-Mima Equations[J].Advances in Mathematics,2007,36(2):253-255. |
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| Authors: | ZHANG Ruifeng |
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