Initial boundary value problems for the three-dimensional compressible elastic Navier-Stokes-Poisson equations

doi:10.1515/anona-2020-0184

CSpace

	Initial boundary value problems for the three-dimensional compressible elastic Navier-Stokes-Poisson equations
	Wang, Yong 1; Wu, Wenpei 2,3
	2021-06-04
发表期刊	ADVANCES IN NONLINEAR ANALYSIS
ISSN	2191-9496
卷号	10 期号:1 页码:1356-1383
摘要	We study the initial-boundary value problems of the three-dimensional compressible elastic Navier-Stokes-Poisson equations under the Dirichlet or Neumann boundary condition for the electrostatic potential. The unique global solution near a constant equilibrium state in H-2 space is obtained. Moreover, we prove that the solution decays to the equilibrium state at an exponential rate as time tends to infinity. This is the first result for the three-dimensional elastic Navier-Stokes-Poisson equations under various boundary conditions for the electrostatic potential.
关键词	Elastic Navier-Stokes-Poisson equations Initial-boundary value problems Global solution Exponential decay
DOI	10.1515/anona-2020-0184
收录类别	SCI
语种	英语
资助项目	Guangdong Provincial Pearl River Talents Program[2017GC010407] ; Guangdong Province Basic and Applied Basic Research Fund[2021A1515010235] ; Guangdong Province Basic and Applied Basic Research Fund[2020B1515310002] ; Guangzhou City Basic and Applied Basic Research Fund[202102020436] ; NSF of China[11701264] ; Science and Technology Program of Guangzhou[2019050001]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000668557600001
出版者	WALTER DE GRUYTER GMBH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58924
专题	中国科学院数学与系统科学研究院
通讯作者	Wu, Wenpei
作者单位	1.South China Normal Univ, South China Res Ctr Appl Math & Interdisciplinary, Sch Math Sci, Guangzhou 510631, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
推荐引用方式 GB/T 7714	Wang, Yong,Wu, Wenpei. Initial boundary value problems for the three-dimensional compressible elastic Navier-Stokes-Poisson equations[J]. ADVANCES IN NONLINEAR ANALYSIS,2021,10(1):1356-1383.
APA	Wang, Yong,&Wu, Wenpei.(2021).Initial boundary value problems for the three-dimensional compressible elastic Navier-Stokes-Poisson equations.ADVANCES IN NONLINEAR ANALYSIS,10(1),1356-1383.
MLA	Wang, Yong,et al."Initial boundary value problems for the three-dimensional compressible elastic Navier-Stokes-Poisson equations".ADVANCES IN NONLINEAR ANALYSIS 10.1(2021):1356-1383.