Global regularity for the initial–boundary value problem of the 2-D Boussinesq system with variable viscosity and thermal diffusivity
We prove the global existence of strong solution to the initial–boundary value problem of the 2-D Boussinesq system and 3-D infinite Prandtl number model with viscosity and thermal conductivity depending on the temperature.
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| Published in | Journal of Differential Equations Vol. 255; no. 6; pp. 1069 - 1085 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
15.09.2013
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| Online Access | Get full text |
| ISSN | 0022-0396 1090-2732 |
| DOI | 10.1016/j.jde.2013.04.032 |
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| Abstract | We prove the global existence of strong solution to the initial–boundary value problem of the 2-D Boussinesq system and 3-D infinite Prandtl number model with viscosity and thermal conductivity depending on the temperature. |
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| AbstractList | We prove the global existence of strong solution to the initial–boundary value problem of the 2-D Boussinesq system and 3-D infinite Prandtl number model with viscosity and thermal conductivity depending on the temperature. |
| Author | Sun, Yongzhong Zhang, Zhifei |
| Author_xml | – sequence: 1 givenname: Yongzhong surname: Sun fullname: Sun, Yongzhong email: sunyz@nju.edu.cn organization: Department of Mathematics, Nanjing University, 210093, PR China – sequence: 2 givenname: Zhifei surname: Zhang fullname: Zhang, Zhifei email: zfzhang@math.pku.edu.cn organization: LMAM and School of Mathematical Sciences, Peking University, 100871, PR China |
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| Cites_doi | 10.1007/s002050050025 10.1512/iumj.2009.58.3590 10.24033/bsmf.2557 10.1016/S0362-546X(97)00635-4 10.1023/A:1011321430954 10.1007/s00205-010-0357-z 10.1007/s00229-003-0433-x 10.1016/j.aim.2011.05.008 10.1016/j.aim.2005.05.001 10.1142/S0218202511005106 10.1016/j.jfa.2007.04.003 10.1016/j.jde.2011.05.027 10.3934/dcds.2005.12.1 10.1016/j.jde.2010.03.021 10.1016/j.anihpc.2010.06.001 10.1515/ans-2004-0404 10.1016/j.jfa.2010.10.012 10.1142/S0219530509001414 10.1002/cpa.3047 10.1016/S0362-546X(97)00330-1 10.1016/j.matpur.2008.09.004 10.1002/cpa.20214 |
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| Title | Global regularity for the initial–boundary value problem of the 2-D Boussinesq system with variable viscosity and thermal diffusivity |
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