L-2 DECAY OF SOLUTIONS TO A MICRO-MACRO MODEL FOR POLYMERIC FLUIDS NEAR EQUILIBRIUM
文献类型：期刊论文
| 作者 | He, Lingbing1; Zhang, Ping2
|
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2008 |
| 卷号 | 40期号:5页码:1905-1922 |
| 关键词 | L-2 decay micro-macro model Fourier transform |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/07712031 |
| 英文摘要 | In this paper, we consider the long time decay of the L-2 norm to the global solutions (u,psi) constructed in [F.-H. Lin, C. Liu, and P. Zhang, Comm. Pure Appl. Math., 60 ( 2007), pp. 838-866] for a micro-macro model of polymeric fluids near equilibrium ( 0, M). Under the additional assumption that u(0) is an element of (H) over dot(-k) (R-3), (psi(0) -M)/ root M is an element of L-2 (R-q(3); (H) over dot(-k) (R-x(3))), we prove that (u(t), psi(t)) tends to (0, M) as t goes to infinity with decaying rate parallel to u(t)parallel to(2)(L) <= C (1+t)-b/2 and parallel to phi(t)-M/root M parallel to L-2 <= C(1+t)-(b+1/2) for b = min (K, 3/2. In general, without this additional assumption, we shall present an explicit long time decaying formula for parallel to u(t)parallel to(L2) and parallel to psi(t)-M/root M parallel to(2)(L). |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000263103600007 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5447]  |
| 专题 | 数学所 |
| 通讯作者 | He, Lingbing |
| 作者单位 | 1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.CAS, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | He, Lingbing,Zhang, Ping. L-2 DECAY OF SOLUTIONS TO A MICRO-MACRO MODEL FOR POLYMERIC FLUIDS NEAR EQUILIBRIUM[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2008,40(5):1905-1922. |
| APA | He, Lingbing,&Zhang, Ping.(2008).L-2 DECAY OF SOLUTIONS TO A MICRO-MACRO MODEL FOR POLYMERIC FLUIDS NEAR EQUILIBRIUM.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,40(5),1905-1922. |
| MLA | He, Lingbing,et al."L-2 DECAY OF SOLUTIONS TO A MICRO-MACRO MODEL FOR POLYMERIC FLUIDS NEAR EQUILIBRIUM".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 40.5(2008):1905-1922. |
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。