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Global Existence of Strong and Weak Solutions to 2D Compressible Navier-Stokes System in Bounded Domains with Large Data and Vacuum
Fan, Xinyu1; Li, Jiaxu1; Li, Jing1,2,3,4,5
2022-05-13
Source PublicationARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN0003-9527
Pages40
AbstractThe barotropic compressible Navier-Stokes system subject to the Navier-slip boundary conditions in a general two-dimensional bounded simply connected domain is considered. For initial density allowed to vanish, the global existence of strong and weak solutions is established when the shear viscosity is a positive constant and the bulk one proportional to a power of the density with the power bigger than one and a third. It should be mentioned that this result is obtained without any restrictions on the size of initial value. To get over the difficulties brought by boundary, on the one hand, Riemann mapping theorem and the pull-back Green's function method are applied to get a pointwise representation of the effective viscous flux. On the other hand, since the orthogonality is preserved under conformal mapping due to its preservation on the angle, the slip boundary conditions are used to reduce the integral representation to the desired commutator form whose singularities can be cancelled out by using the estimates on the spatial gradient of the velocity.
DOI10.1007/s00205-022-01790-4
Indexed BySCI
Language英语
Funding ProjectNational Center for Mathematics and Interdisciplinary Sciences, CAS ; NSFC[11688101] ; NSFC[12071200] ; DoubleThousand Plan of Jiangxi Province[jxsq2019101008]
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Applied ; Mechanics
WOS IDWOS:000795024600003
PublisherSPRINGER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/61343
Collection应用数学研究所
中国科学院数学与系统科学研究院
数学所
Corresponding AuthorFan, Xinyu
Affiliation1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Beijing, Peoples R China
2.Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
3.Nanchang Univ, Inst Math & Interdisciplinary Sci, Nanchang 330031, Jiangxi, Peoples R China
4.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Beijing, Peoples R China
5.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Fan, Xinyu,Li, Jiaxu,Li, Jing. Global Existence of Strong and Weak Solutions to 2D Compressible Navier-Stokes System in Bounded Domains with Large Data and Vacuum[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2022:40.
APA Fan, Xinyu,Li, Jiaxu,&Li, Jing.(2022).Global Existence of Strong and Weak Solutions to 2D Compressible Navier-Stokes System in Bounded Domains with Large Data and Vacuum.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,40.
MLA Fan, Xinyu,et al."Global Existence of Strong and Weak Solutions to 2D Compressible Navier-Stokes System in Bounded Domains with Large Data and Vacuum".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2022):40.
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