Existence of weak solutions to some vortex density models
文献类型：期刊论文
| 作者 | Du, Q; Zhang, P |
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2003 |
| 卷号 | 34期号:6页码:1279-1299 |
| 关键词 | quantized vortices vortex density hydrodynamics vortex sheets weak convergence measure-valued solutions |
| ISSN号 | 0036-1410 |
| 英文摘要 | We study the weak solutions to equations arising in the modeling of vortexmotions in superfluids such as superconductors. The global existence of measure-valued solutions is established with a bounded Radon measure as initial data. Moreover, we get a local space-time L-q estimate for the continuous part of the solution, and we prove the global existence of a distributional weak solution for a particular case. We also consider a modi. cation to the model in order to physically account for the different signs of vortices, and we present, in one space dimension, the global existence of weak solutions with the initial data in BV for the modified model. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000183459100002 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18415]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Du, Q |
| 作者单位 | 1.Penn State Univ, Dept Math, University Pk, PA 16802 USA 2.Chinese Acad Sci, Lab Sci & Engn Comp, Beijing, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Du, Q,Zhang, P. Existence of weak solutions to some vortex density models[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2003,34(6):1279-1299. |
| APA | Du, Q,&Zhang, P.(2003).Existence of weak solutions to some vortex density models.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,34(6),1279-1299. |
| MLA | Du, Q,et al."Existence of weak solutions to some vortex density models".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 34.6(2003):1279-1299. |
入库方式： OAI收割
来源：数学与系统科学研究院
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