采用新盐度边界条件的海洋动力学方程组整体弱解的存在性  

The Existence of Global Weak Solutions to Ocean Dynamics Equations with New Salinity Boundary Condition

作　　者：张燕玲 张博冉 连汝续 ZHANG Yan-ling;ZHANG Bo-ran;LIAN Ru-xu(School of Mathematics and Statistics,North China University of Water Resourcesand 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,河南郑州450046

出　　处：《兰州文理学院学报（自然科学版）》2021年第1期7-13,36,共8页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：国家自然科学基金项目(41975129)。

摘　　要：海洋动力学方程组由Navier-Stokes方程、温度方程以及盐度方程耦合而成.对于盐度方程给出了具有一定物理意义的新盐度边界条件,并利用能量估计方法,证明了海洋动力学方程组整体弱解的存在性.The equations of ocean dynamics were based on Navier-Stokes equations,temperature equations and salinity equations.In this paper,the new salinity boundary condition was given for the salinity equation,and the existence of global weak solutions for the ocean dynamics equations were proved by using the energy estimates method.

关 键 词：海洋动力学方程组 整体弱解 新盐度边界条件 存在性 

分 类 号：O175.2[理学—基础数学]