Ladyzhenskaya流体力学方程组的拉回吸引子与不变测度  

Pullback Attractor and Invariant Measure for the Equations of Ladyzhenskaya Fluid

作　　者：赵才地 李艳娇 阳玲 张明书 Cai Di ZHAO;Yan Jiao LI;Ling YANG;Ming Shu ZHANG(College of Mathematical Physics and Electronic Information Engineering,Wenzhou University,Wenzhou 325035,P.R.China)

机构地区：[1]温州大学数理与电子信息工程学院

出　　处：《数学学报（中文版）》2018年第5期823-834,共12页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11271290,51279209);浙江省自然科学基金资助项目(LY17A010011)

摘　　要：本文讨论带周期边界条件的二维Ladyzhenskaya流体力学方程组解的渐近行为.作者先证明该流体力学方程组存在拉回吸引子,然后证明该拉回吸引子上存在唯一不变Borel概率测度.This paper studies the asymptotic behavior of solutions for equations of the two-dimensional Ladyzhenskaya fluid with periodic boundary conditions. The authors first prove the existence of the pullback attractor for the associated process. Then they establish the existence and uniqueness of the invariant Borel probability measure contained in the pullback attractor.

关 键 词：Ladyzhenskaya流体方程组 拉回吸引子 不变测度 

分 类 号：O175.8[理学—数学]