摘要
研究二维空间上趋化-Navier-Stokes方程解的长时间行为.通过化学浓度的吸收性和光滑性得到细菌种群密度的吸收性和光滑性,由二者获得流体速度的吸收性和光滑性,进而得到系统的吸收性和渐近紧性.最后由吸引子的存在性定理得到结论,即二维空间上的趋化-Navier-Stokes方程存在紧的全局吸引子.
The long-time behavior of solutions of chemotaxis-Navier-Stokes equations in two-dimensional space has been studied.The absorbability and smoothness of the bacterial population density have been obtained through the absorbability and smoothness of the chemical concentration,and the absorbability and smoothness of the fluid velocity obtained from the two.Furthermore,the absorption and asymptotic compactness of the system obtained,too.Finally,it is concluded from the existence theorem of attractors that the chemotaxis-Navier-stokes equation in two-dimensional space has a compact global attractor.
作者
刘婷熙
范小明
LIU Tingxi;FAN Xiaoming(School of Mathematical,Southwest Jiaotong University,Chengdu 611756,China)
出处
《西南师范大学学报（自然科学版）》
CAS
2022年第3期26-35,共10页
Journal of Southwest China Normal University(Natural Science Edition)
