On the blowing up of solutions to quantum hydrodynamic models on bounded domains
文献类型：期刊论文
| 作者 | Gamba, Irene M.1; Gualdani, Maria Pia1; Zhang, Ping2
|
| 刊名 | MONATSHEFTE FUR MATHEMATIK
 |
| 出版日期 | 2009-05-01 |
| 卷号 | 157期号:1页码:37-54 |
| 关键词 | Quantum hydrodynamic equations Blow-up of smooth solutions |
| ISSN号 | 0026-9255 |
| DOI | 10.1007/s00605-009-0092-4 |
| 英文摘要 | The blow-up in finite time for the solutions to the initial-boundary value problem associated to the multi-dimensional quantum hydrodynamic model in a bounded domain is proved. The model consists on conservation of mass equation and a momentum balance equation equivalent to a compressible Euler equations corrected by a dispersion term of the third order in the momentum balance. The proof is based on a priori estimates for the energy functional for a new observable constructed with an auxiliary function, and it is shown that, under suitable boundary conditions and assumptions on the initial data, the solution blows up after a finite time. |
| 资助项目 | NSF[DMS0507038] ; Deutsche Forschungsgemeinschaft[JU359/5] ; Feodor Lynen Research fellowship ; NSF of China[10525101] ; NSF of China[10421101] ; Chinese Academy of Sciences ; Institute for Computational Engineering and Sciences at the University of Texas at Austin |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000265442400003 |
| 出版者 | SPRINGER WIEN |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8400]  |
| 专题 | 数学所 |
| 通讯作者 | Gamba, Irene M. |
| 作者单位 | 1.Univ Texas Austin, Dept Math, Austin, TX 78712 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gamba, Irene M.,Gualdani, Maria Pia,Zhang, Ping. On the blowing up of solutions to quantum hydrodynamic models on bounded domains[J]. MONATSHEFTE FUR MATHEMATIK,2009,157(1):37-54. |
| APA | Gamba, Irene M.,Gualdani, Maria Pia,&Zhang, Ping.(2009).On the blowing up of solutions to quantum hydrodynamic models on bounded domains.MONATSHEFTE FUR MATHEMATIK,157(1),37-54. |
| MLA | Gamba, Irene M.,et al."On the blowing up of solutions to quantum hydrodynamic models on bounded domains".MONATSHEFTE FUR MATHEMATIK 157.1(2009):37-54. |
入库方式： OAI收割
来源：数学与系统科学研究院
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