带弱阻尼Navier-Stokes方程拉回吸引子的收敛性  

The Convergence of Pullback Attractors for Navier-Stokes Equations with Weak Damping

作　　者：曹洁[1] 黄兰 苏克勤[1] Cao Jie;Huang Lan;Su Keqin(College of Information and Management Science,Henan Agricultural University,Zhengzhou 450046;College of Mathematics and Statistics,North China University of Water Resources and Electric Power,Zhengzhou 450045)

机构地区：[1]河南农业大学信息与管理科学学院,郑州450046 [2]华北水利水电大学数学与统计学院,郑州450045

出　　处：《数学物理学报（A辑）》2022年第4期1173-1185,共13页Acta Mathematica Scientia

基　　金：河南省自然科学基金(212300410164)。

摘　　要：该文研究了带弱阻尼Navier-Stokes方程解的长时间动力学行为.在外力项及初值的适当假设条件下,利用Galerkin方法证明了弱解的整体适定性及正则性,并根据吸引子基本理论验证了拉回吸引子的存在性及收敛性.The long-time behavior of solution to Navier-Stokes equations with weak damping is studied in this paper.With some assumptions on the external force and initial datum,the global wellposedness and regularity of weak solution are proved by Galerkin method,and the existence and convergence of pullback attractors are established finally.

关 键 词：拉回吸引子 NAVIER-STOKES方程 弱阻尼 上半连续性 

分 类 号：O175.26[理学—数学]