华东师范大学学报（自然科学版） >

2021 , Vol. 2021 >Issue 3: 34 - 46

DOI: https://doi.org/10.3969/j.issn.1000-5641.2021.03.005

数学

饱和蒸汽大气原始方程组的连续依赖性

  • 李远飞 ,
  • 肖胜中 ,
  • 曾鹏
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  • 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
李远飞, 男, 博士, 教授, 研究方向为偏微分方程. E-mail: liqfd@163.com

收稿日期: 2020-03-12

  网络出版日期: 2021-05-26

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)

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Continuous dependence of primitive equations of the atmosphere with vapor saturation

  • Yuanfei LI ,
  • Shengzhong XIAO ,
  • Peng ZENG
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  • 1. School of Data Science, Guangzhou Huashang College, Guangzhou　511300, China
    2. Guangdong AIB Polytechnic, Guangzhou　510507, China

Received date: 2020-03-12

  Online published: 2021-05-26

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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.

关键词： 原始方程组; 连续依赖性; 能量估计; 天气预报

本文引用格式

李远飞 , 肖胜中 , 曾鹏 . 饱和蒸汽大气原始方程组的连续依赖性[J]. 华东师范大学学报（自然科学版）, 2021 , 2021(3) : 34 -46 . DOI: 10.3969/j.issn.1000-5641.2021.03.005

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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