引入地形因素的海洋动力学方程组整体弱解的稳定性  

The stability of global weak solutions to the ocean dynamics equations with topography effects

作　　者：连汝续 张燕玲 黄兰 Lian Ruxu;Zhang Yanling;Huang Lan(School of Mathematics and Statistics,North China University of Water Resources and Electric Power,Zhengzhou 450046,China)

机构地区：[1]华北水利水电大学数学与统计学院,郑州450046

出　　处：《河南师范大学学报（自然科学版）》2021年第3期18-26,共9页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(41975129)。

摘　　要：研究了引入地形因素和非定常外源强迫的海洋动力学方程组.该方程组是由速度方程、温度方程和盐度方程耦合而成的.在假设初值具有一定正则性时,使用能量估计方法,证明了给出新盐度边界条件的海洋动力学方程组初边值问题整体弱解的L1稳定性和几乎处处稳定性等结论.This paper analyzed the ocean dynamics equations consisting of the velocity equation,the temperature equation and the salinity equation.Based on the initial data assumptions,we prove the stability of global weak solutions to the ocean dynamics equations with topography effects and non-constant external force in the case that a new ocean salinity boundary condition is given.

关 键 词：海洋动力学方程组 整体弱解 地形因素 新盐度边界条件 稳定性 

分 类 号：O413[理学—理论物理]