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Global well-posedness of the stochastic 2D Boussinesq equations with partial viscosity
Authors:Pu Xueke  Guo Boling
Affiliation:aCollege of Mathematics and Statistics, Chongqing University, Chongqing 400044, China;bInstitute of Applied Physics and Computational Mathematics, Beijing 100088, China
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.
Keywords:stochastic PDEs   Boussinesq equations   global well-posedness
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