Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (4): 1041-1054.doi: 10.1016/S0252-9602(14)60068-0

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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).

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

CLC Number: 

  • 60H15
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