On local strong solutions to the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density-dependent viscosity and vacuum
文献类型：期刊论文
| 作者 | Song, Sisi1,2 |
| 刊名 | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
 |
| 出版日期 | 2018-04-01 |
| 卷号 | 69期号:2页码:27 |
| 关键词 | Incompressible magnetohydrodynamic equations Density-dependent viscosity Vacuum Strong solutions |
| ISSN号 | 0044-2275 |
| DOI | 10.1007/s00033-018-0915-z |
| 英文摘要 | This paper concerns the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density-dependent viscosity and vacuum on Omega subset of R-3. The domain Omega subset of R-3 is a general connected smooth one, either bounded or unbounded. In particular, the initial density can have compact support when Omega is unbounded. First, we obtain the local existence and uniqueness of strong solution to the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations without any compatibility condition assumed on the initial data. Then, we also prove the continuous dependence of strong solution on the initial data under an additional compatibility condition. |
| 语种 | 英语 |
| WOS记录号 | WOS:000428112300003 |
| 出版者 | SPRINGER BASEL AG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29868]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Song, Sisi |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Song, Sisi. On local strong solutions to the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density-dependent viscosity and vacuum[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2018,69(2):27. |
| APA | Song, Sisi.(2018).On local strong solutions to the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density-dependent viscosity and vacuum.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,69(2),27. |
| MLA | Song, Sisi."On local strong solutions to the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density-dependent viscosity and vacuum".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 69.2(2018):27. |
入库方式： OAI收割
来源：数学与系统科学研究院
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