带阻尼项的g-Navier-Stokes方程的全局吸引子  

The Global Attractor of g-Navier-Stokes Equations with Dampness

作　　者：刘文婧 姜金平[1] 熊坤翠 LIU Wenjing;JIANG Jinping;XIONG Kuncui(College 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：《贵州大学学报（自然科学版）》2021年第3期31-35,共5页Journal of Guizhou University:Natural Sciences

基　　金：陕西省自然科学基础研究计划资助项目(2018JM1042)。

摘　　要：考虑带非线性阻尼项c|u|^(β)u的g-Navier-Stokes方程解的长时间行为通过验证完备度量空间X上的一个连续半群{S(t)}t≥0存在有界吸收集B■X和{S(t)}t≥0的渐近紧性,得出全局吸引子存在。The long time behaviors of g-Navier-Stokes equations with dampness were investigated.The bounded absorbing set of a continuous semigroup S{t}t≥0 in a complete metric space X is verified and the asymptotic compactness of the semigroup S{t}t≥0 was proved,hence the existence of the global attractor for the equations was proved.

关 键 词：非线性阻尼 g-Navier-Stokes方程 全局吸引子 吸收集 渐近紧 

分 类 号：O175.29[理学—数学]