Abstract:
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.