Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (2): 284-290.

Previous Articles     Next Articles

The Existence of Global Weak Solutions to Thermohaline Circulation Equations

Xing Chao1, Ren Mengzhang2, Luo Hong1   

  1. 1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066;
    2. Mathematic Department, Sichuan Minzu College, Sichuan Kangding 626001
  • Received:2016-11-23 Revised:2017-05-14 Online:2018-04-26 Published:2018-04-26
  • Supported by:
    Sponsored by the NSFC (11711306), the SCNSF (2015YJ0125) and the BTF Sichuan Normal University (201609002)

Abstract: 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 function are chosen according 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.

Key words: Global weak solutions, Thermohaline circulation equations, Existence

CLC Number: 

  • O175
Trendmd