带非线性阻尼项g-Navier-Stokes方程的拉回指数吸引子  

Pullback exponential attractors for the g-Navier-Stokes equations with nonlinear damping

作　　者：任丽宇 姜金平[1] 刘生清 罗轩怡 REN Liyu;JIANG Jinping;LIU Shengqing;LUO Xuanyi(School of Mathematics and Computer Science,Yan’an University,Yan’an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《湖北大学学报（自然科学版）》2023年第3期312-320,共9页Journal of Hubei University：Natural Science

基　　金：陕西省自然科学基础研究计划项目(2018JM1042);陕西省大学生创新创业计划训练项目(S202010719058)资助。

摘　　要：研究具有非线性阻尼的二维g-Navier-Stokes方程的拉回指数吸引子存在问题.首先利用Galerkin方法证明一致拉回吸收集的存在性,然后利用能量方法证明解过程具有一致渐近紧性,最后证明拉回指数吸引子的存在性.We studied the problem of pullback exponential attractors of a two-dimensional g-Navier-Stokes equation with nonlinear damping.Firstly,the Galarkin method was used to demonstrate the existence of a consistent pullback absorption set,and then the energy method was used to prove that the solution process had a consistent asymptotic tightness,and finally the existence of the pullback exponential attractor was proved.

关 键 词：g-Navier-Stokes方程 拉回指数吸引子 非线性阻尼 

分 类 号：O175.29[理学—数学]