STABILITY OF THE SUPERPOSITION OF A VISCOUS CONTACT WAVE WITH TWO RAREFACTION WAVES TO THE BIPOLAR VLASOV POISSON BOLTZMANN SYSTEM
文献类型：期刊论文
| 作者 | Li, Hai-Liang1; Wang, Teng2; Wang, Yi3,4
|
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2018 |
| 卷号 | 50期号:2页码:1829-1876 |
| 关键词 | bipolar Vlasov Poisson Boltzmann system rarefaction wave viscous contact wave time-asymptotic stability micro-macro decomposition |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/17M1150888 |
| 英文摘要 | We investigate the nonlinear stability of the superposition of a viscous contact wave and two rarefaction waves for a one-dimensional (1D) bipolar Vlasov Poisson Boltzmann (VPB) system, which can be used to describe the transportation of charged particles under the additional electrostatic potential force. Based on a new micro-macro type of decomposition around the local Maxwellian related to the bipolar VPB system in the previous work [H.-L. Li, Y. Wang, T. Yang, and M.-Y. Zhong, Arch. Ration. Mech. Anal., 228 (2018), pp. 39-127], we prove that the superposition of a viscous contact wave and two rarefaction waves is time-asymptotically stable to the 1D bipolar VPB system under some smallness conditions on the initial perturbations and wave strength, which implies that this typical superposition wave pattern is nonlinearly stable under the combined effects of the binary collisions, the electrostatic potential force, and the mutual interactions of different charged particles. This is the first result about the nonlinear stability of the combination of two different wave patterns for the VPB system. |
| 资助项目 | NSFC[11461161007] ; NSFC[11671384] ; NSFC[11231006] ; NSFC[11601031] ; NSFC[11671385] ; NSFC[11688101] ; Beijing New Century Baictianwan Talent Project ; Youth Innovation Promotion Association of CAS |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000431193200013 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30185]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wang, Yi |
| 作者单位 | 1.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China 2.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China 3.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Hai-Liang,Wang, Teng,Wang, Yi. STABILITY OF THE SUPERPOSITION OF A VISCOUS CONTACT WAVE WITH TWO RAREFACTION WAVES TO THE BIPOLAR VLASOV POISSON BOLTZMANN SYSTEM[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2018,50(2):1829-1876. |
| APA | Li, Hai-Liang,Wang, Teng,&Wang, Yi.(2018).STABILITY OF THE SUPERPOSITION OF A VISCOUS CONTACT WAVE WITH TWO RAREFACTION WAVES TO THE BIPOLAR VLASOV POISSON BOLTZMANN SYSTEM.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,50(2),1829-1876. |
| MLA | Li, Hai-Liang,et al."STABILITY OF THE SUPERPOSITION OF A VISCOUS CONTACT WAVE WITH TWO RAREFACTION WAVES TO THE BIPOLAR VLASOV POISSON BOLTZMANN SYSTEM".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 50.2(2018):1829-1876. |
入库方式： OAI收割
来源：数学与系统科学研究院
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