论文标题
在地球旋转大气的数学模型上
On a mathematical model of the rotating atmosphere of the Earth
论文作者
论文摘要
在气象学中,已经使用各种数学模型并使用各种近似值来对地球上大气的运动进行分析。在本文中,作为最简单的模型,在以恒定角速度旋转的坐标系统下分析了带有理想气体状态的压缩状态的可压缩欧拉方程。尝试了数学上严格的查询。尽管问题仍然有待开放,但仍表现出一些基本结果。
In meteorology the analysis of motions of the atmosphere on the Earth has been done using various mathematical models and using various approximations. In this article as the simplest model the compressible Euler equations with barotropic equation of state of the ideal gas is analyzed under the co-ordinate system which rotates with constant angular velocity. Mathematically rigorous inquiry is tried. Although problems remain to be open, some fundamental results are exhibited.