Local weak solution of the isentropic compressible Navier-Stokes equations

doi:10.1063/5.0054450

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	Local weak solution of the isentropic compressible Navier-Stokes equations
	Huang, Xiangdi 1; Yan, Wei 2,3
	2021-11-01
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	62 期号:11 页码:8
摘要	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
收录类别	SCI
语种	英语
资助项目	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研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000717530600002
出版者	AIP Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59525
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, Xiangdi
作者单位	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
推荐引用方式 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.