The global strong solutions of Hasegawa-Mima-Charney-Obukhov equation

The global strong solutions of Hasegawa-Mima-Charney-Obukhov equation
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Hasekawa-Mima-Charney-Obukhov方程的全局强解

DOI:
10.1063/1.2008208
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发表时间:
2005
影响因子:
1.3
通讯作者:
Anyou Zhu
Anyou Zhu
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Hongjun Gao;Anyou Zhu

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准地转模型是在渐近高自转率或小Rossby数下的简化地球物理流体模型。本文考虑了在准地转速度场假设下,由自由面欧拉方程得到的无耗散项准地转方程的渐近模型。它被称为Hasegawa-Mima-Charney-Obukhov方程,它也来自等离子体理论。利用先验估计得到了一类Hasegawa-Mima-Charney-Obukhov方程强解的整体存在性.
The quasigeostrophic model is a simplified geophysical fluid model at asymptotically high rotation rate or at small Rossby number. We consider the quasigeostrophic equation with no dissipation term which was obtained as an asymptotic model from the Euler equations with free surface under a quasigeostrophic velocity field assumption. It is called the Hasegawa-Mima-Charney-Obukhov equation, which also arises from plasmas theory. We use a priori estimates to get the global existence of strong solutions for an Hasegawa-Mima-Charney-Obukhov equation.