Remarks on weak solutions to the Navier-Stokes equations for 2-D compressible isothermal fluids with spherically symmetric initial data
文献类型：期刊论文
| 作者 | Jiang, S; Zhang, P |
| 刊名 | INDIANA UNIVERSITY MATHEMATICS JOURNAL
 |
| 出版日期 | 2002 |
| 卷号 | 51期号:2页码:345-355 |
| 关键词 | 2-D compressible Navier-Stokes equations isothermal fluids spherically symmetric weak solutions global existence Orlicz spaces weak convergence |
| ISSN号 | 0022-2518 |
| 英文摘要 | We prove the existence of global weak solutions to the Cauchy problem for the Navier-Stokes equations of 2-dimensional compressible isothermal fluids when rho(0) and m(0) are spherically symmetric, rho(0) is an element of L-1 boolean AND L-M, and m(0)/rootrho(0) is an element of L-2, where rho(0) and m(0) are the initial density and momentum respectively, L-M is the Orlicz space over R-2 with M = M(s) = (1 + s)ln(1 + s) - s. The proof is based on a uniform L-2 ([0, T], L-loc(infinity) (R-2)) estimate of the velocity in the spherically symmetrical approximate solutions and a compactness lemma which gives a compactness result concerning H-n/2 and L-M in R-n. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000176885800005 |
| 出版者 | INDIANA UNIV MATH JOURNAL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17297]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Jiang, S |
| 作者单位 | 1.Inst Appl Phys & Computat Math, LCP, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jiang, S,Zhang, P. Remarks on weak solutions to the Navier-Stokes equations for 2-D compressible isothermal fluids with spherically symmetric initial data[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL,2002,51(2):345-355. |
| APA | Jiang, S,&Zhang, P.(2002).Remarks on weak solutions to the Navier-Stokes equations for 2-D compressible isothermal fluids with spherically symmetric initial data.INDIANA UNIVERSITY MATHEMATICS JOURNAL,51(2),345-355. |
| MLA | Jiang, S,et al."Remarks on weak solutions to the Navier-Stokes equations for 2-D compressible isothermal fluids with spherically symmetric initial data".INDIANA UNIVERSITY MATHEMATICS JOURNAL 51.2(2002):345-355. |
入库方式： OAI收割
来源：数学与系统科学研究院
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