Cauchy problem for the Vlasov-Poisson-Boltzmann system
文献类型：期刊论文
| 作者 | Yang, Tong; Yu, Hongjun; Zhao, Huijiang |
| 刊名 | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
 |
| 出版日期 | 2006-11-01 |
| 卷号 | 182期号:3页码:415-470 |
| ISSN号 | 0003-9527 |
| DOI | 10.1007/s00205-006-0009-5 |
| 英文摘要 | The dynamics of dilute electrons can be modelled by the fundamental Vlasov-Poisson-Boltzmann system which describes mutual interactions of the electrons through collisions in the self-consistent electric field. In this paper, it is shown that any smooth perturbation of a given global Maxwellian leads to a unique global-in-time classical solution when either the mean free path is small or the background charge density is large. Moreover, the solution converges to the global Maxwellian when time tends to infinity. The analysis combines the techniques used in the study of conservation laws with the decomposition of the Boltzmann equation introduced in [15, 17] by obtaining new entropy estimates for this physical model. |
| WOS研究方向 | Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000241997400003 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2539]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yang, Tong |
| 作者单位 | 1.City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China 3.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China 4.Waseda Univ, Sch Polit Sci & Econ, Tokyo 1698050, Japan |
| 推荐引用方式 GB/T 7714 | Yang, Tong,Yu, Hongjun,Zhao, Huijiang. Cauchy problem for the Vlasov-Poisson-Boltzmann system[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2006,182(3):415-470. |
| APA | Yang, Tong,Yu, Hongjun,&Zhao, Huijiang.(2006).Cauchy problem for the Vlasov-Poisson-Boltzmann system.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,182(3),415-470. |
| MLA | Yang, Tong,et al."Cauchy problem for the Vlasov-Poisson-Boltzmann system".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 182.3(2006):415-470. |
入库方式： OAI收割
来源：数学与系统科学研究院
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