Initial boundary value problems for the three-dimensional compressible elastic Navier-Stokes-Poisson equations
文献类型:期刊论文
作者 | Wang, Yong3; Wu, Wenpei1,2 |
刊名 | ADVANCES IN NONLINEAR ANALYSIS |
出版日期 | 2021-06-04 |
卷号 | 10期号:1页码:1356-1383 |
ISSN号 | 2191-9496 |
关键词 | Elastic Navier-Stokes-Poisson equations Initial-boundary value problems Global solution Exponential decay |
DOI | 10.1515/anona-2020-0184 |
英文摘要 | 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. |
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 |
语种 | 英语 |
出版者 | WALTER DE GRUYTER GMBH |
WOS记录号 | WOS:000668557600001 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58923] |
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.Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.South China Normal Univ, South China Res Ctr Appl Math & Interdisciplinary, Sch Math Sci, Guangzhou 510631, 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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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