文献类型：期刊文献

英文题名：TRAJECTORY ATTRACTOR AND GLOBAL ATTRACTOR FOR KELLER-SEGEL-STOKES MODEL WITH ARBITRARY POROUS MEDIUM DIFFUSION

作者：Sun, Wenlong[1];Li, Yeping[1]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2017

卷号：50

期号：2

起止页码：581

外文期刊名：TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000430800300007)】；

基金：The research is supported in partial by the National Science Foundation of China (Grant No. 11671134).

语种：英文

外文关键词：Keller-Segel-Stokes model; trajectory attractor; global attractor; translation semigroup

摘要：We investigate long-time behavior of weak solutions for the Keller-Segel-Stokes model with arbitrary porous medium diffusion in 2D bounded domains. We first prove the existence of the trajectory attractor A(tr) for the translation semigroup in the trajectory space. Further, we construct the global attractor A in a generalized sense. The results are shown by the definition of trajectory attractor and global attractor, and energy estimates.