论文标题
在平坦地球上分层气氛的绝热振荡上
On Adiabatic Oscillations of a Stratified Atmosphere on the Flat Earth
论文作者
论文摘要
我们考虑了在平坦地球上重力下方的背部密度和熵分布周围大气的振荡。大气应该是理想的气体，运动应该由可压缩的欧拉方程支配。后台平衡的密度分布应该在平流层的有限高度处接触真空。考虑到小扰动的线性近似值，我们表明，具有一系列时间段的时间周期性振荡，例如，当隆起的频率在所考虑的后地面平衡的任何地方都是正频率的正方形时，这些时间段积累到无穷大，缓慢和缓慢的振荡，所谓的“ G-modes”。
We consider the oscillations of the atmosphere around a stratified back ground density and entropy distribution under the gravitation on the flat Earth. The atmosphere is supposed to be an ideal gas and the motion is supposed to be governed by the compressible Euler equations. The density distribution of the back ground equilibrium is supposed to touch the vacuum at the finite height of the stratosphere. Considering the linearized approximation for small perturbations, we show that time periodic oscillations with a sequence of time periods which accumulate to infinity, say, slow and slow oscillations, so called `g-modes', can appear when the square of the Brunt-Vaisala frequency is positive everywhere for the considered back ground equilibrium.
