Global attractor of 2D autonomous g-Navier-Stokes equations  被引量:4

Global attractor of 2D autonomous g-Navier-Stokes equations

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作  者:姜金平 王小霞 

机构地区:[1]College of Computer, Yan'an University

出  处:《Applied Mathematics and Mechanics(English Edition)》2013年第3期385-394,共10页应用数学和力学(英文版)

基  金:Project supported by the National Natural Science Fundation of China (No. 11171269);the Natural Science Basic Research Plan in Shaanxi Province of China (No. 2012JM1012);the Scientific Research Program Funded by Shaanxi Provincial Education Department (No. 12JK0849)

摘  要:In this paper, the existence of global attractors for the 2D autonomous g- Navier-Stokes equations on multi-connected bounded domains is investigated under the general assumptions of boundaries. The estimation of the Hausdorff dimensions for global attractors is given.In this paper, the existence of global attractors for the 2D autonomous g- Navier-Stokes equations on multi-connected bounded domains is investigated under the general assumptions of boundaries. The estimation of the Hausdorff dimensions for global attractors is given.

关 键 词:global attractor g-Navier-Stokes equation bounded absorbing set semi-group multi-connected bounded domain Hausdorff dimension 

分 类 号:O175[理学—数学]

 

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