KMS Of Academy of mathematics and systems sciences, CAS
Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data | |
Huang, Feimin; Li, Jing; Xin, Zhouping | |
2006-12-01 | |
发表期刊 | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES |
ISSN | 0021-7824 |
卷号 | 86期号:6页码:471-491 |
摘要 | This paper concerns the large time behavior of strong and classical solutions to the two-dimensional Stokes approximation equations for the compressible flows. We consider the unique global strong solution or classical solution to the two-dimensional Stokes approximation equations for the compressible flows with large external potential force, together with a Navier-slip boundary condition, for arbitrarily large initial data. Under the conditions that the corresponding steady state exists uniquely with the steady state density away from vacuum, we prove that the density is bounded from above independently of time, consequently, it converges to the steady state density in L-p and the velocity u converges to the steady state velocity in W-1.p for any 1 <= p < infinity as time goes to infinity; furthermore, we show that if the initial density contains vacuum at least at one point, then the derivatives of the density must blow up as time goes to infinity. (C) 2006 Elsevier Masson SAS. All rights reserved. |
关键词 | stokes approximation equations large external potential forces large-time behavior uniform upper bound vacuum blowup |
DOI | 10.1016/j.matpur.2006.10.001 |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000243143900003 |
出版者 | GAUTHIER-VILLARS/EDITIONS ELSEVIER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/3321 |
专题 | 应用数学研究所 数学所 |
通讯作者 | Huang, Feimin |
作者单位 | 1.Acad Sinica, Inst Appl Math, AMSS, Beijing 100080, Peoples R China 2.Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China 3.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China |
推荐引用方式 GB/T 7714 | Huang, Feimin,Li, Jing,Xin, Zhouping. Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2006,86(6):471-491. |
APA | Huang, Feimin,Li, Jing,&Xin, Zhouping.(2006).Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,86(6),471-491. |
MLA | Huang, Feimin,et al."Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data".JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 86.6(2006):471-491. |
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