KMS Of Academy of mathematics and systems sciences, CAS
Local weak solution of the isentropic compressible Navier-Stokes equations | |
Huang, Xiangdi1; Yan, Wei2,3 | |
2021-11-01 | |
Source Publication | JOURNAL OF MATHEMATICAL PHYSICS |
ISSN | 0022-2488 |
Volume | 62Issue:11Pages:8 |
Abstract | Whether the three dimensional isentropic compressible Navier-Stokes equations admit weak solutions for arbitrary initial data with adiabatic exponent gamma > 1 remains a challenging problem. The only available results under gamma > 1 were achieved by either assuming the initial data with small energy due to Hoff [J. Differ. Equations 120(1), 215-254 (1995)] or under the spherically symmetric condition by Jiang and Zhang [Commun. Math. Phys. 215, 559-581 (2001)] and Huang [J. Differ. Equations 262, 1341-1358 (2017)]. In this paper, we establish the existence of weak solutions with higher regularity of the three-dimensional periodic compressible isentropic Navier-Stokes equations in small time for the adiabatic exponent gamma > 1 in the presence of vacuum. It can be viewed as a local version of Hoff's work and also extends the result of Desjardins [Commun. Partial Differ. Equations 22(5-6), 977-1008 (1997)] by removing the assumption of gamma > 3. |
DOI | 10.1063/5.0054450 |
Indexed By | SCI |
Language | 英语 |
Funding Project | National Natural Science Foundation of China[11871113] ; National Natural Science Foundation of China[11371064] ; K. C. Wong Education Foundation ; Youth Innovation Promotion Association CAS |
WOS Research Area | Physics |
WOS Subject | Physics, Mathematical |
WOS ID | WOS:000717530600002 |
Publisher | AIP Publishing |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59525 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Huang, Xiangdi |
Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing, Peoples R China 2.Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing, Peoples R China |
Recommended Citation GB/T 7714 | Huang, Xiangdi,Yan, Wei. Local weak solution of the isentropic compressible Navier-Stokes equations[J]. JOURNAL OF MATHEMATICAL PHYSICS,2021,62(11):8. |
APA | Huang, Xiangdi,&Yan, Wei.(2021).Local weak solution of the isentropic compressible Navier-Stokes equations.JOURNAL OF MATHEMATICAL PHYSICS,62(11),8. |
MLA | Huang, Xiangdi,et al."Local weak solution of the isentropic compressible Navier-Stokes equations".JOURNAL OF MATHEMATICAL PHYSICS 62.11(2021):8. |
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