On the well-posedness for Keller-Segel system with fractional diffusion
文献类型：期刊论文
| 作者 | Wu, Gang1; Zheng, Xiaoxin2 |
| 刊名 | MATHEMATICAL METHODS IN THE APPLIED SCIENCES
 |
| 出版日期 | 2011-09-30 |
| 卷号 | 34期号:14页码:1739-1750 |
| 关键词 | nonlinear parabolic equations nonlinear evolution equations fractional diffusion Keller-Segel model Well-posedness Ill-posedness |
| ISSN号 | 0170-4214 |
| DOI | 10.1002/mma.1480 |
| 英文摘要 | In this paper, we study the Cauchy problem for the Keller-Segel system with fractional diffusion generalizing the Keller-Segel model of chemotaxis for the initial data (u(0), v(0)) in critical Fourier-Herz spaces <(B)over dot>(2-2 alpha)(q) (R(n)) x <(B)over dot>(2-alpha)(q) (R(n)) with q is an element of [2, infinity], where 1< alpha <= 2. Making use of some estimates of the linear dissipative equation in the frame of mixed time-space spaces, the Chemin 'mono-norm method', the Fourier localization technique and the Littlewood-Paley theory, we get a local well-posedness result and a global well-posedness result with a small initial data. In addition, ill-posedness for 'doubly parabolic' models is also studied. Copyright (C) 2011 John Wiley & Sons, Ltd. |
| 资助项目 | Chinese Postdoctoral Science Foundation[20090460553] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000294324900007 |
| 出版者 | WILEY-BLACKWELL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11787]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wu, Gang |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wu, Gang,Zheng, Xiaoxin. On the well-posedness for Keller-Segel system with fractional diffusion[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2011,34(14):1739-1750. |
| APA | Wu, Gang,&Zheng, Xiaoxin.(2011).On the well-posedness for Keller-Segel system with fractional diffusion.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,34(14),1739-1750. |
| MLA | Wu, Gang,et al."On the well-posedness for Keller-Segel system with fractional diffusion".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 34.14(2011):1739-1750. |
入库方式： OAI收割
来源：数学与系统科学研究院
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