用约束哈密顿系统的狄拉克理论导出简化的二维流体模型
Derivation of reduced two-dimensional fluid models via Dirac's theory of constrained Hamiltonian systems
摘要：
本文给出了一类简化等离子体二维流体模型的哈密顿推导，其中一个例子是Charney-Hasegawa-Mima方程。这些模型是从相同的父哈密顿模型，其中包括耦合到连续性方程的离子动量方程，通过施加动力学约束。结果表明，泊松括号与这些减少模型是狄拉克括号从泊松括号的父模型。
英文摘要：
We present a Hamiltonian derivation of a class of reduced plasma two-dimensional fluid models, an example being the Charney-Hasegawa-Mima equation. These models are obtained from the same parent Hamiltonian model, which consists of the ion momentum equation coupled to the continuity equation, by imposing dynamical constraints. It is shown that the Poisson bracket associated with these reduced models is the Dirac bracket obtained from the Poisson bracket of the parent model.
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