KMS Of Academy of mathematics and systems sciences, CAS
HYDRODYNAMIC LIMIT OF THE BOLTZMANN EQUATION TO THE PLANAR RAREFACTION WAVE IN THREE DIMENSIONAL SPACE | |
Wang, Guanfa1; Wang, Yong2,3![]() | |
2021 | |
发表期刊 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
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ISSN | 0036-1410 |
卷号 | 53期号:4页码:4692-4726 |
摘要 | In this paper, we establish the global-in-time hydrodynamic limit of the Boltzmann equation to the planar rarefaction wave of a compressible Euler system in three dimensional space x is an element of R-3 for general collision kernels. Our approach is based on the Hilbert expansion and a recent L-2-L-infinity framework. In particular, we improve the L-2-estimate to be a localized version because the planar rarefaction wave is indeed a one dimensional wave which makes the source terms not integrable in the L-2 energy estimate of the three dimensional problem. We also point out that the wave strength of rarefaction may be large. |
关键词 | Boltzmann equation compressible Euler equations hydrodynamic limit Hilbert expansion a priori estimate planar rarefaction wave |
DOI | 10.1137/20M1362905 |
收录类别 | SCI |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11771429] ; National Natural Science Foundation of China[12022114] ; Youth Innovation Promotion Association of Chinese Academy of Sciences[2019002] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000692288300033 |
出版者 | SIAM PUBLICATIONS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/59270 |
专题 | 应用数学研究所 |
通讯作者 | Wang, Guanfa |
作者单位 | 1.South China Normal Univ, Zhong Shan Ave West 55, Guangzhou 510631, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 4.Wuhan Univ, Sch Math & Stat, Wuhan 100049, Peoples R China 5.Wuhan Univ, Comp Sci Hubei Key Lab, Wuhan 430072, Peoples R China |
推荐引用方式 GB/T 7714 | Wang, Guanfa,Wang, Yong,Zhou, Jiawei. HYDRODYNAMIC LIMIT OF THE BOLTZMANN EQUATION TO THE PLANAR RAREFACTION WAVE IN THREE DIMENSIONAL SPACE[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2021,53(4):4692-4726. |
APA | Wang, Guanfa,Wang, Yong,&Zhou, Jiawei.(2021).HYDRODYNAMIC LIMIT OF THE BOLTZMANN EQUATION TO THE PLANAR RAREFACTION WAVE IN THREE DIMENSIONAL SPACE.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,53(4),4692-4726. |
MLA | Wang, Guanfa,et al."HYDRODYNAMIC LIMIT OF THE BOLTZMANN EQUATION TO THE PLANAR RAREFACTION WAVE IN THREE DIMENSIONAL SPACE".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 53.4(2021):4692-4726. |
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