Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (5): 1968-1984.doi: 10.1016/S0252-9602(11)60375-5

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GLOBAL WELL-POSEDNESS OF THE STOCHASTIC 2D BOUSSINESQ EQUATIONS WITH PARTIAL VISCOSITY

 PU Xue-Ke*, GUO Bo-Ling   

  1. College of Mathematics and Statistics, Chongqing University, Chongqing 400044, China; Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2009-11-13 Revised:2010-05-26 Online:2011-09-20 Published:2011-09-20
  • Contact: PU Xue-Ke,xuekepu@cqu.edu.cn E-mail:xuekepu@cqu.edu.cn;gbl@iapcm.ac.cn
  • Supported by:

    This work supported by NSFC (11001285).

Abstract:

This paper deals with the stochastic 2D Boussinesq equations with partial viscosity. This is a coupled system of Navier-Stokes/Euler equations and the transport equation for temperature under additive noise. Global well-posedness result of this system under partial viscosity is proved by using classical energy estimates method.

Key words: stochastic PDEs, Boussinesq equations, global well-posedness

CLC Number: 

  • 60H15
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