Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows
文献类型：期刊论文
| 作者 | Li, J ; Xin, ZP
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2006-02-15 |
| 卷号 | 221期号:2页码:275-308 |
| 关键词 | Stokes approximation equations isentropic compressible fluids uniform upper bound vacuum blowup |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2005.08.012 |
| 英文摘要 | This paper concerns the global existence and the large time behavior of strong and classical solutions to the two-dimensional (2D) Stokes approximation equations for the compressible flows. We consider the unique global strong solution or classical solution to the 2D Stokes approximation equations for the compressible flows together with the space-periodicity boundary condition or the no-stick boundary condition or Cauchy problem for arbitrarily large initial data. First, we prove that the density is bounded from above independent of time in all these cases. Secondly, we show that for the space-periodicity boundary condition or the no-stick boundary condition, if the initial density contains vacuum at least at one point, then the global strong (or classical) solution must blow up as time goes to infinity. (c) 2005 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000235311600001 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3398]  |
| 专题 | 数学所 |
| 通讯作者 | Li, J |
| 作者单位 | 1.Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China 2.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China 3.Acad Sinica, Inst Appl Math, AMSS, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, J,Xin, ZP. Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2006,221(2):275-308. |
| APA | Li, J,&Xin, ZP.(2006).Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows.JOURNAL OF DIFFERENTIAL EQUATIONS,221(2),275-308. |
| MLA | Li, J,et al."Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows".JOURNAL OF DIFFERENTIAL EQUATIONS 221.2(2006):275-308. |
入库方式： OAI收割
来源：数学与系统科学研究院
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