MACROSCOPIC REGULARITY FOR THE BOLTZMANN EQUATION
文献类型：期刊论文
| 作者 | Huang, Feimin ; Wang, Yong1
|
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2018-09-01 |
| 卷号 | 38期号:5页码:1549-1566 |
| 关键词 | Boltzmann equation macroscopic regularity compressible Navier-Stokes equations |
| ISSN号 | 0252-9602 |
| 英文摘要 | The regularity of solutions to the Boltzmann equation is a fundamental problem in the kinetic theory. In this paper, the case with angular cut-off is investigated. It is shown that the macroscopic parts of solutions to the Boltzmann equation, i.e., the density, momentum and total energy are continuous functions of (x, t) in the region R-3 x (0, +infinity). More precisely, these macroscopic quantities immediately become continuous in any positive time even though they are initially discontinuous and the discontinuities of solutions propagate only in the microscopic level. It should be noted that such kind of phenomenon can not happen for the compressible Navier-Stokes equations in which the initial discontinuities of the density never vanish in any finite time, see [22]. This hints that the Boltzmann equation has better regularity effect in the macroscopic level than compressible Navier-Stokes equations. |
| 资助项目 | National Center for Mathematics and Interdisciplinary Sciences ; AMSS ; CAS ; NSFC[11371349] ; NSFC[11688101] ; NSFC[11771429] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000446808900006 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31484]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wang, Yong |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Feimin,Wang, Yong. MACROSCOPIC REGULARITY FOR THE BOLTZMANN EQUATION[J]. ACTA MATHEMATICA SCIENTIA,2018,38(5):1549-1566. |
| APA | Huang, Feimin,&Wang, Yong.(2018).MACROSCOPIC REGULARITY FOR THE BOLTZMANN EQUATION.ACTA MATHEMATICA SCIENTIA,38(5),1549-1566. |
| MLA | Huang, Feimin,et al."MACROSCOPIC REGULARITY FOR THE BOLTZMANN EQUATION".ACTA MATHEMATICA SCIENTIA 38.5(2018):1549-1566. |
入库方式： OAI收割
来源：数学与系统科学研究院
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