LARGE TIME BEHAVIOR AND QUASINEUTRAL LIMIT OF SOLUTIONS TO A BIPOLAR HYDRODYNAMIC MODEL WITH LARGE DATA AND VACUUM
文献类型：期刊论文
| 作者 | Huang, Feimin1 ; Li, Yeping2
|
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 |
| 出版日期 | 2009-06-01 |
| 卷号 | 24期号:2页码:455-470 |
| 关键词 | Bipolar hydrodynamic model large time behavior quasineutral limit entropy solution energy estimates |
| ISSN号 | 1078-0947 |
| DOI | 10.3934/dcds.2009.24.455 |
| 英文摘要 | In this paper, a one-dimensional bipolar hydrodynamic model is considered. This system takes the form of Euler-Poisson with electric field and frictional damping added to the momentum equations. The large time behavior of L 1 entropy solutions of the bipolar hydrodynamic model is firstly studied. Previous works on this topic are mainly concerned with the smooth solution in which no vacuum occurs and the initial data is small. It is proved in this paper that any bounded entropy solution strongly converges to the similarity solution of the porous media equation or the heat equation in L-2(R) with time decay rate. The initial data can contain vacuum and can be arbitrarily large. The method is also applied to improve the convergence rate of [F. Huang, R. Pan, Arch. Rational Mech. Anal., 166( 2003), 359-376] for compressible Euler equations with damping. As a by product, it is shown that the bounded L-infinity entropy solution of the bipolar hydrodynamic model converges to the entropy solution of Euler equations with damping as t -> infinity. |
| 资助项目 | NSFC[10471138] ; NSFC-NSAF[10676037] ; National Science Foundation of China[10701057] ; Science Foundation of Shanghai Education Committee[08YZ72] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000265190500010 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9167]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Huang, Feimin |
| 作者单位 | 1.Acad Sinica, Inst Appl Math, AMSS, Beijing 100080, Peoples R China 2.Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Feimin,Li, Yeping. LARGE TIME BEHAVIOR AND QUASINEUTRAL LIMIT OF SOLUTIONS TO A BIPOLAR HYDRODYNAMIC MODEL WITH LARGE DATA AND VACUUM[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2009,24(2):455-470. |
| APA | Huang, Feimin,&Li, Yeping.(2009).LARGE TIME BEHAVIOR AND QUASINEUTRAL LIMIT OF SOLUTIONS TO A BIPOLAR HYDRODYNAMIC MODEL WITH LARGE DATA AND VACUUM.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,24(2),455-470. |
| MLA | Huang, Feimin,et al."LARGE TIME BEHAVIOR AND QUASINEUTRAL LIMIT OF SOLUTIONS TO A BIPOLAR HYDRODYNAMIC MODEL WITH LARGE DATA AND VACUUM".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 24.2(2009):455-470. |
入库方式： OAI收割
来源：数学与系统科学研究院
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