Acta mathematica scientia, Series B >
GLOBAL WELL-POSEDNESS OF THE STOCHASTIC 2D BOUSSINESQ EQUATIONS WITH PARTIAL VISCOSITY
Received date: 2009-11-13
Revised date: 2010-05-26
Online published: 2011-09-20
Supported by
This work supported by NSFC (11001285).
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
PU Xue-Ke , GUO Bo-Ling . GLOBAL WELL-POSEDNESS OF THE STOCHASTIC 2D BOUSSINESQ EQUATIONS WITH PARTIAL VISCOSITY[J]. Acta mathematica scientia, Series B, 2011 , 31(5) : 1968 -1984 . DOI: 10.1016/S0252-9602(11)60375-5
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