Global Existence of Strong and Weak Solutions to 2D Compressible Navier-Stokes System in Bounded Domains with Large Data and Vacuum

doi:10.1007/s00205-022-01790-4

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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, Xinyu 1; Li, Jiaxu 1; Li, Jing1,2,3,4,5
	2022-05-13
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
页码	40
摘要	The 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.
DOI	10.1007/s00205-022-01790-4
收录类别	SCI
语种	英语
资助项目	National Center for Mathematics and Interdisciplinary Sciences, CAS ; NSFC[11688101] ; NSFC[12071200] ; DoubleThousand Plan of Jiangxi Province[jxsq2019101008]
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000795024600003
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61343
专题	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
通讯作者	Fan, Xinyu
作者单位	1.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
推荐引用方式 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.