On the global well-posedness of 2-D Boussinesq system with variable viscosity

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• 作者：Hammadi Abidi^a ; ^{habidi@univ-evry.fr" class="auth_mail" title="E-mail the corresponding author} ; Ping Zhang^b ; ^c ; ^{zp@amss.ac.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35Q30 ; 76D03
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：10 January 2017
• 年：2017
• 卷：305
• 期：Complete
• 页码：1202-1249
• 全文大小：678 K

文摘

In this paper, we investigate the global well-posedness of 2-D Boussinesq system, which has variable kinematic viscosity and with thermal conductivity of |D|θ$|D|\theta$, with general initial data provided that the viscosity coefficient is sufficiently close to some positive constant in L^∞$L^{\infty }$ norm.