Continuous dependence of primitive equations of the atmosphere with vapor saturation
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摘要: 考虑了定义在柱形区域上经常被用于天气预报的存在饱和蒸汽的大气原始方程组. 运用微分不等式技术和能量估计的方法, 得到了方程组解的先验界, 并证明了方程组对边界参数的连续依赖性.Abstract: In this paper, we study the primitive equations of the atmosphere in the presence of vapor saturation; these equations are often used in forecasting weather in a cylindrical region. By using the technique of differential inequality and the method of energy estimation, we obtain the prior bounds of the solutions for the equations, and we prove the continuous dependence of the equations on the boundary parameters.
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Key words:
- primitive equations /
- continuous dependence /
- energy estimates /
- weather forecast
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