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。
The structure stability of the solutions of the 3 D 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.
作者
李远飞
LI Yuanfei(School of Data Science,Huashang College,Guangdong University of Finance&Economics,Guangzhou 511300,China)
出处
《浙江大学学报（理学版）》
CAS
CSCD
北大核心
2020年第4期448-454,共7页
Journal of Zhejiang University（Science Edition）
基金
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).
关键词
原始方程组
连续依赖性
偏微分方程
primitive equations
continuous dependence
partial differential equations
