热盐环流方程全局弱解的存在性  

The Existence of Global Weak Solutions to Thermohaline Circulation Equations

作　　者：邢超[1] 任猛章 罗宏[1] Xing Chao;Ren Mengzhang;Luo Hong(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066;Mathematic Department, Sichuan Minzu College, Sichuan Kangding 626001)

机构地区：[1]四川师范大学数学与软件科学学院,成都610066 [2]四川民族学院数学系,四川康定626001

出　　处：《数学物理学报（A辑）》2018年第2期284-290,共7页Acta Mathematica Scientia

基　　金：国家自然科学基金(11711306);四川省科技基金(2015YJ0125);四川师范大学优秀学位论文培育基金(201609002)~~

摘　　要：该文利用T-弱连续算子理论和空间序列方法证明了热盐环流方程全局弱解的存在性.首先根据热盐环流方程的形式选择试探函数空间和解函数空间,再将方程化为抽象的算子方程,验证算子是T-弱连续的并满足对应条件,从而得到热盐环流方程全局弱解的存在性.In the article, the existence of global weak solutions to thermohaline circulation equations is proved by the theory of T-weakly continuous operator and the method of space sequence. Firstly, the space of test function and space of solution flmction are chosen accord- ing to thermohaline circulation equations. Then the equations can be rewritten as abstract operator equation. Furthermore, it is proved that the operator is T-weakly continuous and satisfies corresponding conditions. Thus the existence of global weak solutions to thermohaline circulation equations is obtained.

关 键 词：全局弱解 热盐环流方程 存在性 

分 类 号：O175[理学—数学]