LARGE-TIME BEHAVIORS OF THE SOLUTION TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS IN HALF SPACE WITH NAVIER BOUNDARY CONDITIONS
文献类型：期刊论文
| 作者 | Wang, T. E. N. G.3; Wang, Y., I1,2 |
| 刊名 | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
 |
| 出版日期 | 2021-07-01 |
| 卷号 | 20期号:7-8页码:2811-2838 |
| ISSN号 | 1534-0392 |
| 关键词 | Compressible Navier-Stokes equations planar rarefaction wave sta- bility Navier boundary conditions |
| DOI | 10.3934/cpaa.2021080 |
| 英文摘要 | We are concerned with the large-time asymptotic behaviors towards the planar rarefaction wave to the three-dimensional (3D) compressible and isentropic Navier-Stokes equations in half space with Navier boundary conditions. It is proved that the planar rarefaction wave is time-asymptotically stable for the 3D initial-boundary value problem of the compressible Navier-Stokes equations in R+ x T-2 with arbitrarily large wave strength. Compared with the previous work [17, 16] for the whole space problem, Navier boundary conditions, which state that the impermeable wall condition holds for the normal velocity and the fluid tangential velocity is proportional to the tangential component of the viscous stress tensor on the boundary, are crucially used for the stability analysis of the 3D initial-boundary value problem. |
| 资助项目 | NSFC[12090014] ; NSFC[11688101] ; BJNSF[1202002] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
| WOS记录号 | WOS:000684207400019 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59065]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, Y., I |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, CEMS, HCMS, NCMIS,Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100124, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, T. E. N. G.,Wang, Y., I. LARGE-TIME BEHAVIORS OF THE SOLUTION TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS IN HALF SPACE WITH NAVIER BOUNDARY CONDITIONS[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2021,20(7-8):2811-2838. |
| APA | Wang, T. E. N. G.,&Wang, Y., I.(2021).LARGE-TIME BEHAVIORS OF THE SOLUTION TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS IN HALF SPACE WITH NAVIER BOUNDARY CONDITIONS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,20(7-8),2811-2838. |
| MLA | Wang, T. E. N. G.,et al."LARGE-TIME BEHAVIORS OF THE SOLUTION TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS IN HALF SPACE WITH NAVIER BOUNDARY CONDITIONS".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 20.7-8(2021):2811-2838. |
入库方式： OAI收割
来源：数学与系统科学研究院
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