趋化NS系统的全局吸引子

Global attractor for chemotaxis NS system

研究一类二维趋化NS系统全局吸引子的存在性问题.首先,依次获得氧气、化学引诱剂、细胞密度以及流体速度的吸收集,由此获得系统的吸收集;其次,依次获得流体速度、氧气、化学引诱剂以及细胞密度的渐近紧性,进而获得系统的渐近紧性.根据吸引子存在性定理,该趋化NS系统存在全局吸引子.

This paper studies the existence of global attractors for chemotaxis NS systems in two-dimensional space.Firstly,the absorbing sets of oxygen,chemoattractant,cell density and fluid velocity are obtained in turn,from which the absorbing sets of the system are worked out.Secondly,the asymptotic compactness of the fluid velocity,the oxygen,the chemoattractant and the cell density are obtained in sequence.So the asymptotic compactness of the system can be obtained.Finally,according to the attractor existence theorem,there exist global attractors for the chemotactic NS system.