随机力作用下大尺度海洋三维原始方程的连续依赖性

李远飞

doi:10.13371/j.cnki.chin.q.j.m.2021.03.008

数学季刊 >

2021 , Vol. 36 >Issue 3: 296 - 307

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2021.03.008

随机力作用下大尺度海洋三维原始方程的连续依赖性

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Department of Apllied Mathematics, Guangzhou Huashang College

LI Yuan-fei (1982-), male, native of Guangdong, Guangzhou, distinguished professor of Guangzhou Huashang College, engages in PDE.

收稿日期: 2021-01-25

网络出版日期: 2021-06-21

基金资助

Supported by Innovation Team Project of Humanities and Social Sciences in Colleges and Universities of Guangdong Province (Grant No. 2020wcxtd008);

Research Team Project Funding of Guangzhou Huashang college (Grant No. 2021HSKT01).

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Continuous Dependence for the 3D Primitive Equations of Large Scale Ocean Under Random Force

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Department of Apllied Mathematics, Guangzhou Huashang College

LI Yuan-fei (1982-), male, native of Guangdong, Guangzhou, distinguished professor of Guangzhou Huashang College, engages in PDE.

Received date: 2021-01-25

Online published: 2021-06-21

Supported by

Supported by Innovation Team Project of Humanities and Social Sciences in Colleges and Universities of Guangdong Province (Grant No. 2020wcxtd008);

Research Team Project Funding of Guangzhou Huashang college (Grant No. 2021HSKT01).

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摘要

In this paper, we consider the initial-boundary value problem for the large scale
three-dimensional (3D) viscous primitive equations under random force. Assuming that
the random force and the heat source satisfy the some assumptions, we firstly establish
rigorous a priori bounds with coefficients which depend only on boundary data, initial
data and the geometry of the problem, and then with the aid of these a priori bounds,
the continuous dependence of the solution on changes in the heat source is obtained.

关键词： Primitive equations of the ocean; The heat source; Continuous dependence; Random force

本文引用格式

李远飞 . 随机力作用下大尺度海洋三维原始方程的连续依赖性[J]. 数学季刊, 2021 , 36(3) : 296 -307 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.03.008

Abstract

Key words： Primitive equations of the ocean; The heat source; Continuous dependence; Random force

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