Stability of steady-state for 3-D hydrodynamic model of unipolar semiconductor with Ohmic contact boundary in hollow ball
文献类型：期刊论文
| 作者 | Mei, Ming1,2; Wu, Xiaochun3; Zhang, Yongqian4 |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2021-03-15 |
| 卷号 | 277页码:57-113 |
| 关键词 | 3-Dimensional hydrodynamic model Euler-Poisson equations Subsonic steady-state Asymptotic stability Radial solutions Weighted Sobolev spaces |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2020.12.027 |
| 英文摘要 | The existence of stationary subsonic solutions and their stability for 3-D hydrodynamic model of unipolar semiconductors with the Ohmic contact boundary have been open for long time due to some technical reason, as we know. In this paper, we consider 3-D radial solutions to the system in a hollow ball, and prove that the 3-D radial subsonic stationary solutions uniquely exist and are asymptotically stable, when the initial perturbations around the subsonic steady-state are small enough. Different from the existing studies on the radial solutions for fluid dynamics where the inner boundary of the hollow ball must be far away from the singular origin, here we may allow the chosen inner boundary arbitrarily close to the singular origin and reveal the relationship between the inner boundary and the large time behavior of the radial solution. This partially answers the open question of the stability of stationary waves subjected to the Ohmic contact boundary conditions in the multiple dimensional space. We also prove the existence of non-flat stationary subsonic solution, which essentially improve and develop the previous studies in this subject. The proof is based on the technical energy estimates in certain weighted Sobolev spaces, where the weight functions are artfully selected to be the distance of the targeted spatial location and the singular point. (C) 2020 Elsevier Inc. All rights reserved. |
| 资助项目 | Joint Training Ph.D. Program of China Scholarship Council[201706100098] ; NSERC[RGPIN 354724-2016] ; FRQNT[256440] ; NSFC[11421061] ; Natural Science Foundation of Shanghai[15ZR1403900] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000610027200003 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58079]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wu, Xiaochun |
| 作者单位 | 1.McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada 2.Champlain Coll St Lambert, Dept Math, St Lambert, PQ J4P 3P2, Canada 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China |
| 推荐引用方式 GB/T 7714 | Mei, Ming,Wu, Xiaochun,Zhang, Yongqian. Stability of steady-state for 3-D hydrodynamic model of unipolar semiconductor with Ohmic contact boundary in hollow ball[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2021,277:57-113. |
| APA | Mei, Ming,Wu, Xiaochun,&Zhang, Yongqian.(2021).Stability of steady-state for 3-D hydrodynamic model of unipolar semiconductor with Ohmic contact boundary in hollow ball.JOURNAL OF DIFFERENTIAL EQUATIONS,277,57-113. |
| MLA | Mei, Ming,et al."Stability of steady-state for 3-D hydrodynamic model of unipolar semiconductor with Ohmic contact boundary in hollow ball".JOURNAL OF DIFFERENTIAL EQUATIONS 277(2021):57-113. |
入库方式： OAI收割
来源：数学与系统科学研究院
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