含非线性阻尼的二维g-Navier-Stokes方程全局吸引子的维数估计  

Dimension Estimation of Global Attractor for Two-dimensional g-Naiver-Stokes Equation with Nonlinear Dampness

作　　者：刘文婧 姜金平[1] 熊坤翠 LIU Wen-jing;JIANG Jin-ping;XIONG Kun-cui(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：《延安大学学报（自然科学版）》2020年第4期80-83,共4页Journal of Yan'an University：Natural Science Edition

基　　金：陕西省自然科学基础研究计划项目(2018JM1042)。

摘　　要：研究了含非线性阻尼的二维g-Navier-Stokes方程全局吸引子的维数估计问题。在g-Navier-Stokes系统中加入非线性阻尼项,运用经典的维数估计方法,估计该系统全局吸引子的Hausdorff和Fractal维数。The dimension estimation of global attractor for two-dimensional g-Naiver-Stokes equation with nonlinear dampness is studied.The nonlinear dampness term is added to the g-Navier-Stokes system,and the classical dimension estimation method is used to estimate the Hausdorff and Fractal dimensions of the global attractor of the system.

关 键 词：二维g-Navier-Stokes方程 全局吸引子 非线性阻尼 维数估计 

分 类 号：O175.29[理学—数学]