论文标题

在浅水方程中的动量和伪小组

Momentum and pseudomomentum in a shallow water equation

论文作者

Hanna, J. A.

论文摘要

从动量,能量和伪符号平衡的拉格朗日推导的角度来分析具有可变地形的基本浅水系统。得出了二维动作和相关的动量方程。后者进一步操纵以得出能量和伪小子的其他方程。这种揭示的结构强调了空间中断裂的对称性和参考配置,并在时间上保存对称性。

A basic shallow water system with variable topography is analyzed from the point of view of a Lagrangian derivation of momentum, energy, and pseudomomentum balances. A two-dimensional action and associated momentum equation are derived. The latter is further manipulated to derive additional equations for energy and pseudomomentum. This revealed structure emphasizes broken symmetries in space and a reference configuration, and preserved symmetry in time.

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