NONLINEAR STABILITY OF PLANAR RAREFACTION WAVE TO THE THREE-DIMENSIONAL BOLTZMANN EQUATION
文献类型：期刊论文
| 作者 | Wang, Teng1; Wang, Yi2,3
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| 刊名 | KINETIC AND RELATED MODELS
 |
| 出版日期 | 2019-06-01 |
| 卷号 | 12期号:3页码:637-679 |
| 关键词 | Boltzmann equation planar rarefaction wave time-asymptotic stability |
| ISSN号 | 1937-5093 |
| DOI | 10.3934/krm.2019025 |
| 英文摘要 | We investigate the time-asymptotic stability of planar rarefaction wave for the three-dimensional Boltzmann equation, based on the micro-macro decomposition introduced in [24, 22] and our new observations on the underlying wave structures of the equation to overcome the difficulties due to the wave propagation along the transverse directions and its interactions with the planar rarefaction wave. Note that this is the first stability result of planar rarefaction wave for 3D Boltzmann equation, while the corresponding results for the shock and contact discontinuities are still completely open. |
| 资助项目 | NSFC[11671385] ; NSFC[11688101] ; NSFC[11601031] ; CAS Interdisciplinary Innovation Team |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000458734800006 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32579]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wang, Yi |
| 作者单位 | 1.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, CEMS, HCMS,NCMIS, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Teng,Wang, Yi. NONLINEAR STABILITY OF PLANAR RAREFACTION WAVE TO THE THREE-DIMENSIONAL BOLTZMANN EQUATION[J]. KINETIC AND RELATED MODELS,2019,12(3):637-679. |
| APA | Wang, Teng,&Wang, Yi.(2019).NONLINEAR STABILITY OF PLANAR RAREFACTION WAVE TO THE THREE-DIMENSIONAL BOLTZMANN EQUATION.KINETIC AND RELATED MODELS,12(3),637-679. |
| MLA | Wang, Teng,et al."NONLINEAR STABILITY OF PLANAR RAREFACTION WAVE TO THE THREE-DIMENSIONAL BOLTZMANN EQUATION".KINETIC AND RELATED MODELS 12.3(2019):637-679. |
入库方式： OAI收割
来源：数学与系统科学研究院
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