Global existence and asymptotic behavior of solutions to a chemotaxis-fluid system on general bounded domains
文献类型：期刊论文
| 作者 | Jiang, Jie1; Wu, Hao2,3; Zheng, Songmu2 |
| 刊名 | ASYMPTOTIC ANALYSIS
 |
| 出版日期 | 2015 |
| 卷号 | 92期号:3-4页码:249-258 |
| 关键词 | chemotaxis Navier-Stokes equation global existence general bounded domain |
| 英文摘要 | In this paper, we investigate an initial-boundary value problem for a chemotaxis-fluid system in a general bounded regular domain Omega subset of R-N (N is an element of{2, 3}), not necessarily being convex. Thanks to the elementary lemma given by Mizoguchi and Souplet [Ann. Inst. H. Poincare - AN 31 (2014), 851-875], we can derive a new type of entropy-energy estimate, which enables us to prove the following: (1) for N = 2, there exists a unique global classical solution to the full chemotaxis-Navier-Stokes system, which converges to a constant steady state (n(infinity), 0, 0) as t -> +infinity, and (2) for N = 3, the existence of a global weak solution to the simplified chemotaxis-Stokes system. Our results generalize the recent work due to Winkler [Commun. Partial Diff. Equ. 37 (2012), 319-351; Arch. Rational Mech. Anal. 211 (2014), 455-487], in which the domain Omega is essentially assumed to be convex. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | NONLINEAR DIFFUSION ; STOKES SYSTEM ; MODEL ; EQUATIONS ; DECAY |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000353141300004 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1069]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei Province, Peoples R China 2.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China 3.Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jiang, Jie,Wu, Hao,Zheng, Songmu. Global existence and asymptotic behavior of solutions to a chemotaxis-fluid system on general bounded domains[J]. ASYMPTOTIC ANALYSIS,2015,92(3-4):249-258. |
| APA | Jiang, Jie,Wu, Hao,&Zheng, Songmu.(2015).Global existence and asymptotic behavior of solutions to a chemotaxis-fluid system on general bounded domains.ASYMPTOTIC ANALYSIS,92(3-4),249-258. |
| MLA | Jiang, Jie,et al."Global existence and asymptotic behavior of solutions to a chemotaxis-fluid system on general bounded domains".ASYMPTOTIC ANALYSIS 92.3-4(2015):249-258. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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