Global solution to 3D spherically symmetric compressible Navier-Stokes equations with large data
文献类型：期刊论文
| 作者 | Guo, Zhenhua1,2; Wang, Mei1,2; Wang, Yi3,4
|
| 刊名 | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
 |
| 出版日期 | 2018-04-01 |
| 卷号 | 40页码:260-289 |
| 关键词 | Compressible Navier-Stokes equations 3D spherically symmetric Global weak solution |
| ISSN号 | 1468-1218 |
| DOI | 10.1016/j.nonrwa.2017.09.004 |
| 英文摘要 | In this paper, we proved the global well-posedness of the solution to 3D spherically symmetric, compressible and isentropic Navier-Stokes equations in the whole space with arbitrarily large initial data when the shear viscosity mu is a positive constant and the bulk viscosity lambda(rho) = rho(beta) with 0 <= beta <= gamma and gamma > 1 being the adiabatic exponent in the gamma-law pressure. First, the global classical solution is obtained away from the symmetry center gamma = 0 with arbitrarily large and non-vacuum data. In particular, it is shown that the solution will not develop the vacuum states in any finite time away from the symmetry center if the initial density does not contain vacuum states. Then the global weak solutions with the symmetry center gamma = 0 are obtained as the limit of the classical solutions in the exterior domain of a ball B-epsilon(0) with the center at the origin and the radius epsilon > 0 when the ball shrink to the origin, that is, epsilon -> 0+, for any fixed total mass h > 0 defined in (3.1), and then let h -> 0+. (C) 2017 Elsevier Ltd. All rights reserved. |
| 资助项目 | National Natural Sciences Foundation of China[11331005] ; National Natural Sciences Foundation of China[11671385] ; SRDPC[20136101110015] ; Youth Innovation Promotion Association of CAS ; Young top-notch talent Program |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000416196800013 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29153]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Guo, Zhenhua |
| 作者单位 | 1.Northwest Univ, Sch Math, Xian 710069, Shaanxi, Peoples R China 2.Northwest Univ, CNS, Xian 710069, Shaanxi, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, CEMS,HCMS, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, Zhenhua,Wang, Mei,Wang, Yi. Global solution to 3D spherically symmetric compressible Navier-Stokes equations with large data[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2018,40:260-289. |
| APA | Guo, Zhenhua,Wang, Mei,&Wang, Yi.(2018).Global solution to 3D spherically symmetric compressible Navier-Stokes equations with large data.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,40,260-289. |
| MLA | Guo, Zhenhua,et al."Global solution to 3D spherically symmetric compressible Navier-Stokes equations with large data".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 40(2018):260-289. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。