大尺度湿大气原始方程组对边界参数的连续依赖性

郭连红; 李远飞

doi:10.21656/1000-0887.410028

大尺度湿大气原始方程组对边界参数的连续依赖性

doi: 10.21656/1000-0887.410028

广东财经大学华商学院应用数学系, 广州 511300

基金项目: 广东普通高校重点科研项目(自然科学)(2019KZDXM042)

详细信息

作者简介:
郭连红(1982—),女，副教授,硕士(通讯作者. E-mail: guoat164@163.com);李远飞(1982—),男，特聘教授,博士(E-mail: liqfd@163.com).

中图分类号: O178
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- 文章访问数: 2653
- HTML全文浏览量: 141
- PDF下载量: 324
- 被引次数: 0
出版历程
- 收稿日期: 2020-01-13
- 修回日期: 2020-07-10
- 刊出日期: 2020-09-01

Continuous Dependence on Boundary Parameters of the Original Equations for LargeScale Wet Atmosphere

Department of Applied Mathematics, Huashang College, Guangdong University of Finance & Economics, Guangzhou 511300, P.R.China

Funds: The National Natural Science Foundation of China(11371175)

摘要

摘要: 大气的大尺度动力学方程由Navier-Stokes方程导出的原始方程组控制,并与热力学和盐度扩散输运方程耦合.在过去的几十年里,人们从数学的角度对大气、海洋与耦合了大气和海洋的原始方程组进行了广泛的研究.许多学者的研究主要关注原始方程组在数学上的逻辑性，即方程组的适定性.笔者开始注意到研究原始方程组自身稳定性的必要性.因为在模型建立、简化的过程中不可避免地会出现一些误差,这就需要研究方程组中系数的微小变化是否会引起方程组解的巨大变化.该文运用原始方程组解的先验估计,结合能量估计与微分不等式技术,展示了如何控制水汽比,证明了大尺度湿大气原始方程组的解对边界参数的连续依赖性.
- 原始方程组 /
- 先验估计 /
- 连续依赖性
Abstract: Large-scale dynamic equations for atmosphere are controlled by the original equations derived from the Navier-Stokes equations, and coupled with the thermodynamics and salinity diffusion transport equations. In the past few decades, the atmosphere, ocean, and atmosphere-ocean coupling original equations were extensively studied from the perspective of mathematics. The previous literatures mainly focused on the mathematical logic or well-posedness of the original equations. The stability of the original equations was addressed. Given the inevitable errors in the model establishment and simplification, the effects of coefficients’ small changes on solutions’ great changes were studied for the original equations. Prior estimates of the solutions, combined with energy estimation and the differential inequality technique, were used to control steam ratios. The results prove the continuous dependence of the solutions to the large-scale wet atmosphere original equations on boundary parameters.
- original equation /
- prior estimation /
- continuous dependence

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参考文献(28)

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大尺度湿大气原始方程组对边界参数的连续依赖性

doi: 10.21656/1000-0887.410028

作者简介:
郭连红(1982—),女，副教授,硕士(通讯作者. E-mail: guoat164@163.com);李远飞(1982—),男，特聘教授,博士(E-mail: liqfd@163.com).

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Continuous Dependence on Boundary Parameters of the Original Equations for LargeScale Wet Atmosphere

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目录

留言板

大尺度湿大气原始方程组对边界参数的连续依赖性

doi: 10.21656/1000-0887.410028

作者简介: 郭连红(1982—),女，副教授,硕士(通讯作者. E-mail: guoat164@163.com);李远飞(1982—),男，特聘教授,博士(E-mail: liqfd@163.com).

计量

出版历程

Continuous Dependence on Boundary Parameters of the Original Equations for LargeScale Wet Atmosphere

计量

出版历程

目录

作者简介:
郭连红(1982—),女，副教授,硕士(通讯作者. E-mail: guoat164@163.com);李远飞(1982—),男，特聘教授,博士(E-mail: liqfd@163.com).