数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (4): 1041-1054.doi: 10.1016/S0252-9602(14)60068-0

• 论文 • 上一篇    下一篇

STOCHASTIC SIMPLIFIED BARDINA TURBULENT MODEL: EXISTENCE OF WEAK SOLUTION

 邱华, 房少梅*   

  1. Department of Applied Mathematics, South China Agricultural University, Guangzhou 510640, China
  • 收稿日期:2013-05-27 修回日期:2013-09-06 出版日期:2014-07-20 发布日期:2014-07-20
  • 通讯作者: 房少梅,dz90@scau.edu.cn E-mail:tsiuhua@scau.edu.cn; dz90@scau.edu.cn
  • 基金资助:

    The first author is supported by the NNSF of China (11126266), NSF of Guangdong (S2013010013608), Foundation for Distinguished Young Talents in Higher Edu-cation of Guangdong, China (2012LYM−0030), and Pearl River New Star Program (2012J2200016); the second author is supported by the NNSF of China (11271141).

STOCHASTIC SIMPLIFIED BARDINA TURBULENT MODEL: EXISTENCE OF WEAK SOLUTION

 QIU Hua, FANG Shao-Mei*   

  1. Department of Applied Mathematics, South China Agricultural University, Guangzhou 510640, China
  • Received:2013-05-27 Revised:2013-09-06 Online:2014-07-20 Published:2014-07-20
  • Contact: FANG Shao-Mei,dz90@scau.edu.cn E-mail:tsiuhua@scau.edu.cn; dz90@scau.edu.cn
  • Supported by:

    The first author is supported by the NNSF of China (11126266), NSF of Guangdong (S2013010013608), Foundation for Distinguished Young Talents in Higher Edu-cation of Guangdong, China (2012LYM−0030), and Pearl River New Star Program (2012J2200016); the second author is supported by the NNSF of China (11271141).

摘要:

In this paper, we consider the stochastic version of the 3D Bardina model arising from the turbulent flows of fluids. We obtain the existence of probabilistic weak solution for the model with the non-Lipschitz condition.

关键词: Bardina model, probabilistic weak solution, existence

Abstract:

In this paper, we consider the stochastic version of the 3D Bardina model arising from the turbulent flows of fluids. We obtain the existence of probabilistic weak solution for the model with the non-Lipschitz condition.

Key words: Bardina model, probabilistic weak solution, existence

中图分类号: 

  • 60H15