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

doi:10.1016/S0252-9602(11)60375-5

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (5): 1968-1984.doi: 10.1016/S0252-9602(11)60375-5

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

蒲学科^*|郭柏灵

College of Mathematics and Statistics, Chongqing University, Chongqing 400044, China； Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

收稿日期:2009-11-13 修回日期:2010-05-26 出版日期:2011-09-20 发布日期:2011-09-20
通讯作者: 蒲学科，xuekepu@cqu.edu.cn E-mail:xuekepu@cqu.edu.cn；gbl@iapcm.ac.cn
基金资助:
This work supported by NSFC (11001285).

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

PU Xue-Ke^*, GUO Bo-Ling

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).

摘要/Abstract

摘要：

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.

关键词: stochastic PDEs, Boussinesq equations, global well-posedness

Abstract:

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

中图分类号:

60H15

蒲学科, 郭柏灵. GLOBAL WELL-POSEDNESS OF THE STOCHASTIC 2D BOUSSINESQ EQUATIONS WITH PARTIAL VISCOSITY[J]. 数学物理学报(英文版), 2011, 31(5): 1968-1984.

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.

参考文献

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

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

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