On the regularity criteria for weak solutions to the magnetohydrodynamic equations
文献类型：期刊论文
| 作者 | He, Cheng; Wang, Yun |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2007-07-01 |
| 卷号 | 238期号:1页码:1-17 |
| 关键词 | magnetohydrodynamics equations regularity criteria |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2007.03.023 |
| 英文摘要 | We study the regularity criteria for weak solutions to the incompressible magnetohydrodynamic equations. Some regularity criteria are obtained for weak solutions to the magnetohydrodynamic equations, which generalize the results in [C. He, Z. Xin, On the regularity of solutions to the magneto-hydrodynamic equations, J. Differential Equations 213 (2) (2005) 235-254]. Our results reveal that the velocity field of the fluid plays a more dominant role than the magnetic field does on the regularity of solutions to the magnetohydrodynamic equations. (C) 2007 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000248093900001 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5140]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | He, Cheng |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | He, Cheng,Wang, Yun. On the regularity criteria for weak solutions to the magnetohydrodynamic equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2007,238(1):1-17. |
| APA | He, Cheng,&Wang, Yun.(2007).On the regularity criteria for weak solutions to the magnetohydrodynamic equations.JOURNAL OF DIFFERENTIAL EQUATIONS,238(1),1-17. |
| MLA | He, Cheng,et al."On the regularity criteria for weak solutions to the magnetohydrodynamic equations".JOURNAL OF DIFFERENTIAL EQUATIONS 238.1(2007):1-17. |
入库方式： OAI收割
来源：数学与系统科学研究院
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