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| 黏性系数依赖于密度的可压缩磁流体方程组解的存在性 | |
| 引用本文： | 邓慧琳,阎小丽.黏性系数依赖于密度的可压缩磁流体方程组解的存在性[J].中山大学学报(自然科学版),2012,51(3):44-51. |
| 作者姓名： | 邓慧琳 阎小丽 |
| 作者单位： | 1. 六盘水师范学院数学系,贵州六盘水,553004 2. 河南理工大学数学与信息科学学院,河南焦作,454000 |
| 摘 要： | 在假设初始密度ρ 0有界（即0 |
| 关 键 词： | 可压缩磁流体方程组 存在性 临界Besov空间 Bony仿积分解 |
| 收稿时间： | 2011-08-10; |
Research of Existence for Compressible MHD Equations with Density-Dependent Viscosities |
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| DENG Huilin , YAN Xiaoli.Research of Existence for Compressible MHD Equations with Density-Dependent Viscosities[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2012,51(3):44-51. | |
| Authors: | DENG Huilin YAN Xiaoli |
| Institution: | (1. Department of Mathematics, Liupanshui Normal College, Liupanshui 553004, China； 2. School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454000, China) |
| Abstract: | Under the assumption that the initial density is bounded away from zero, the local existence in some critical Besov spaces for the compressible magneto-hydrodynamic equations with density-dependent viscosities in RN(N≥2) is established by constructing a sequence of smooth solutions. And using a compactness argument,the convergence of the sequence is proved. |
| Keywords: | compressible magneto-hydrodynamic equations existence critical Besov spaces Bony paraproduct decomposition |
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