华东师范大学学报(自然科学版) ›› 2021, Vol. 2021 ›› Issue (3): 34-46.doi: 10.3969/j.issn.1000-5641.2021.03.005

• 数学 • 上一篇    下一篇

饱和蒸汽大气原始方程组的连续依赖性

李远飞1(), 肖胜中2, 曾鹏1   

  1. 1. 广州华商学院 数据科学学院, 广州 511300
    2. 广东农工商职业技术学院, 广州 510507
  • 收稿日期:2020-03-12 出版日期:2021-05-25 发布日期:2021-05-26
  • 作者简介:李远飞, 男, 博士, 教授, 研究方向为偏微分方程. E-mail: liqfd@163.com
  • 基金资助:
    国家自然科学基金(11371175); 广东省普通高校重点项目(2019KZDXM042)

Continuous dependence of primitive equations of the atmosphere with vapor saturation

Yuanfei LI1(), Shengzhong XIAO2, Peng ZENG1   

  1. 1. School of Data Science, Guangzhou Huashang College, Guangzhou 511300, China
    2. Guangdong AIB Polytechnic, Guangzhou 510507, China
  • Received:2020-03-12 Online:2021-05-25 Published:2021-05-26

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.

关键词: 原始方程组, 连续依赖性, 能量估计, 天气预报

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.

Key words: primitive equations, continuous dependence, energy estimates, weather forecast

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