The global attractor of the 2D Boussinesq system with fractional vertical dissipation

被引：0
作者：
Xing Su
机构：
[1] Donghua University,College of Information Science and Technology
来源：
Boundary Value Problems | / 2016卷
关键词：
Boussinesq system; fractional vertical dissipation; global well-posedness; global attractor; 35Q30; 34D45; 35R11;
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摘要：
The 2D incompressible Boussinesq system with partial or fractional dissipation have recently attracted considerable attention. In this paper, we study the Cauchy problem for the 2D Boussinesq system in a periodic domain with fractional vertical dissipation in the subcritical case, and we prove the global well-posedness of strong solutions. Based on this, we also discuss the existence of the global attractor.
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[1]  
Jiu QS(2012)The 2D incompressible Boussinesq equations with general dissipation Soc. Sci. Elec. Publ. 17 1132-1157
[2]  
Miao CX(2004)Global regularity for the viscous Boussinesq equations Math. Methods Appl. Sci. 27 363-369
[3]  
Wu JH(1992)Nonstationary Boussinesq equations J. Fac. Sci., Univ. Tokyo, Sect. 1A, Math. 39 61-75
[4]  
Zhang ZF(1997)Local existence and blow-up criterion for the Boussinesq equations Proc. R. Soc. Edinb. 127A 935-946
[5]  
Li YG(1999)Local existence and blow-up criterion of Hölder continuous solutions of the Boussinesq equations Nagoya Math. J. 155 55-80
[6]  
Morimoto H(2006)Global regularity for the 2D Boussinesq equations with partial viscosity terms Adv. Math. 203 497-513
[7]  
Chae D(2005)Global well-posedness of the viscous Boussinesq equations Discrete Contin. Dyn. Syst. 12 1-12
[8]  
Nam HS(2007)On the global well-posedness for Boussinesq system J. Differ. Equ. 233 199-220
[9]  
Chae D(2009)On the global well-posedness of the Boussinesq system with zero viscosity Indiana Univ. Math. J. 58 1591-1618
[10]  
Kim SK(2011)Initial boundary value problem for two-dimensional viscous Boussinesq equations Arch. Ration. Mech. Anal. 199 739-760
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