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| MATHEMATICAL RESULTS RELATED TO A TWO-DIMENSIONAL MAGNETO- HYDRODYNAMIC EQUATIONS | |
| 引用本文： | 酒全森 牛冬娟. MATHEMATICAL RESULTS RELATED TO A TWO-DIMENSIONAL MAGNETO- HYDRODYNAMIC EQUATIONS[J]. 数学物理学报(B辑英文版), 2006, 26(4): 744-756. DOI: 10.1016/S0252-9602(06)60101-X |
| 作者姓名： | 酒全森 牛冬娟 |
| 作者单位： | School of Mathematical Sciences Capital Normal University Beijing 100037，China，Institute of Mathematics AMSS，Chinese Academy of Sciences，Beijing 100080，China |
| 基金项目： | The research is partially supported by NSF of China (10431060)，NSF of Beijing (1042003)，key project of NSFB-FBEC |
| 摘 要： | The two-dimensional magneto-hydrodynamic (MHD) equations are considered in this article. Viscous approximations are used to obtain the local existence and uniqueness of the classical solution. When the viscous term vanishes, the convergence rates, a main problem in turbulence,are also discussed. Moreover, a blow-up criterion for our classical solution is established in terms of the magnetic fields. |
| 关 键 词： | MHD方程 经典解 收敛率 粘性逼近 |
| 收稿时间： | 2004-12-30 |
| 修稿时间： | 2005-05-08 |
MATHEMATICAL RESULTS RELATED TO A TWO-DIMENSIONAL MAGNETO-HYDRODYNAMIC EQUATIONS |
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| Quansen Jiu,Dongjuan Niu. MATHEMATICAL RESULTS RELATED TO A TWO-DIMENSIONAL MAGNETO-HYDRODYNAMIC EQUATIONS[J]. Acta Mathematica Scientia, 2006, 26(4): 744-756. DOI: 10.1016/S0252-9602(06)60101-X | |
| Authors: | Quansen Jiu Dongjuan Niu |
| Affiliation: | aSchool of Mathematical Sciences, Capital Normal University, Beijing 100037, China bInstitute of Mathematics, AMSS, Chinese Academy of Sciences, Beijing 100080, China |
| Abstract: | The two-dimensional magneto-hydrodynamic (MHD) equations are considered in this article. Viscous approximations are used to obtain the local existence and uniqueness of the classical solution. When the viscous term vanishes, the convergence rates, a main problem in turbulence,are also discussed. Moreover, a blow-up criterion for our classical solution is established in terms of the magnetic fields. |
| Keywords: | MHD equations classical solution convergence rate blow-up criterion |
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