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浙江大学学报（理学版）
浙江大学学报（理学版）  2020, Vol. 47 Issue (4): 448-454    DOI: 10.3785/j.issn.1008-9497.2020.04.007
数学与计算机科学     
带振荡随机力的大尺度海洋三维原始方程组对边界参数的连续依赖性
李远飞
广东财经大学华商学院 数据科学学院，广东 广州 511300
Continuous dependence on the boundary parameter for the 3D primitive equations of large scale ocean under oscillating random force
LI Yuanfei
School of Data Science，Huashang College, Guangdong University of Finance & Economics, Guangzhou 511300, China
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摘要： 考虑了经常用于天气预报和气候变化的带振荡随机力的大尺度海洋三维原始方程组的结构稳定性。 通过建立方程组解的先验界，采取能量分析方法，利用微分不等式技术，推导了一个关于辅助函数的一阶微分不等式，证明了方程组对边界参数的连续依赖性。
关键词： 连续依赖性;  偏微分方程;  原始方程组    
Abstract: The structure stability of the solutions of the 3D primitive equations of large scale ocean under oscillating random force in a cylindrical region is considered, which was used to study long-term weather prediction and climate changes. By establishing rigorous a priori bounds of the solutions, adopting the energy analysis methods and using the differential inequality technology,a first-ordler differential inequality about auxiliary functions, and the continuous dependence on the boundary parameter is obtained.
Key words: primitive equations    continuous dependence    partial differential equations
收稿日期: 2019-07-22 出版日期: 2020-07-25
CLC:  O178  
基金资助: 广东省高校特色创新项目(2018KTSCX332) ；广东财经大学华商学院2019年度校内科研项目（2019HSXS05).
作者简介: 李远飞(1982—)，ORCID: http://orcid.org/0000-0002-9314-4104，男，博士，特聘教授，主要从事偏微分方程研究， E-mail：liqfd@163.com.。
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引用本文:

李远飞. 带振荡随机力的大尺度海洋三维原始方程组对边界参数的连续依赖性[J]. 浙江大学学报（理学版）, 2020, 47(4): 448-454.

LI Yuanfei. Continuous dependence on the boundary parameter for the 3D primitive equations of large scale ocean under oscillating random force. Journal of Zhejiang University (Science Edition), 2020, 47(4): 448-454.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2020.04.007    或    https://www.zjujournals.com/sci/CN/Y2020/V47/I4/448

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