Convergence to equilibria of global solutions to a degenerate quasilinear Keller-Segel system
文献类型：期刊论文
| 作者 | Jiang, Jie |
| 刊名 | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
 |
| 出版日期 | 2018-10-01 |
| 卷号 | 69期号:5页码:20 |
| ISSN号 | 0044-2275 |
| 关键词 | Chemotaxis Degenerate parabolic systems Porous medium diffusion Global solutions Convergence to equilibria |
| DOI | 10.1007/s00033-018-1025-7 |
| 英文摘要 | This paper is devoted to the longtime behavior of global weak solutions to initial- boundary value problems of the following degenerate quasilinear Keller- Segel system Here O. Rn is a bounded domain,. > 0 and m > max{1, 2- 2 n}. First, we establish the existence of global weak solution which additionally satisfies an energy dissipation inequality. Thanks to the energy inequality, we prove that the global weak solution will converge to an equilibrium as time goes to infinity if m = 2 and. < m m- 1 M m- 2 0, where M0 is the average mass of cells. The proof is based on an application of a slightly modified Lojasiewicz- Simon inequality of non- smooth type, where the requirement on compactness of the trajectory is weakened compared with those in Feireisl et al. ( J Differ Equ 236: 551- 569, 2007), Jiang and Zhang ( Asymptot Anal 65: 79- 102, 2009). Moreover, in the special case m = 2 and. < 2, convergence toward trivial solution ( M0,.M0) is verified by an alternative straightforward way. |
| WOS关键词 | PARABOLIC CHEMOTAXIS SYSTEM ; BLOW-UP ; LOGISTIC SOURCE ; MODEL ; BOUNDEDNESS ; DIFFUSION ; STABILIZATION ; SENSITIVITY ; EXISTENCE ; BEHAVIOR |
| 资助项目 | National Natural Science Foundation of China (NNSFC)[11371098] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | SPRINGER INTERNATIONAL PUBLISHING AG |
| WOS记录号 | WOS:000445239800001 |
| 资助机构 | National Natural Science Foundation of China (NNSFC) ; National Natural Science Foundation of China (NNSFC) ; National Natural Science Foundation of China (NNSFC) ; National Natural Science Foundation of China (NNSFC) ; National Natural Science Foundation of China (NNSFC) ; National Natural Science Foundation of China (NNSFC) ; National Natural Science Foundation of China (NNSFC) ; National Natural Science Foundation of China (NNSFC) |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/13110]  |
| 专题 | 中国科学院武汉物理与数学研究所 |
| 通讯作者 | Jiang, Jie |
| 作者单位 | Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jiang, Jie. Convergence to equilibria of global solutions to a degenerate quasilinear Keller-Segel system[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2018,69(5):20. |
| APA | Jiang, Jie.(2018).Convergence to equilibria of global solutions to a degenerate quasilinear Keller-Segel system.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,69(5),20. |
| MLA | Jiang, Jie."Convergence to equilibria of global solutions to a degenerate quasilinear Keller-Segel system".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 69.5(2018):20. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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