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Global Attractors and Asymptotic Smoothing Effect for Navier-Stokes Equations with Linear Damping on R^2
  • ISSN号：1002-0462
  • 期刊名称：《数学季刊：英文版》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学] O357.1[理学—流体力学;理学—力学]
  • 作者机构：[1]Department of Mathematics and Information Science, Wenzhou University, Zhejiang 325035, China, [2]Department of Mathematical Sciences, South China University of Technology, Guangdong 510640, China, [3]Department of Applied Mathematics, Shanghai Normal University, Shanghai 200234, China
  • 相关基金：Supported by Natural Science Foundation of China（10771074; 10771139）; Supported by the NSF of Wenzhou University（2007L024）; Supported by the NSF of Zhejiang Province（Y6080077）
作者： ZHAO Cai-di[1], LI Yong-sheng[2], ZHOU Sheng-fan[3]
关键词： 渐近吸引子, 线性阻尼, 斯托克斯方程, 平滑, Stokes方程, 全局吸引, 半群, Navier-Stokes equations, global attractor, asymptotic smoothing effect, linear damping
中文摘要：

这份报纸与在作者们由证明相应 semigroup 是证明L2全球的引起注意的人和H1全球的引起注意的人的存在的 R2.The 上的线性抑制学习海军司烧方程的答案的长时间行为 asymptotically compact.Thereafter ，他们证实二个引起注意的人是一样并且因此揭示弄平答案的效果的 asymptotic 。

英文摘要：

This paper studies the long time behavior of solutions to the Navier-Stokes equations with linear damping on R^2. The authors prove the existence of L^2-global attractor and Hi-global attractor by showing that the corresponding semigroup is asymptotically compact. Thereafter, they establish that the two attractors are the same and thus reveal the asymptotic smoothing effect of the solutions.

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期刊信息
  • 《数学季刊：英文版》
  • 北大核心期刊（2004版）
  • 主管单位:
  • 主办单位:河南大学
  • 主编：胡和生 林群
  • 地址：河南省开封市明伦街85号河南大学
  • 邮编：475001
  • 邮箱：
  • 电话：0378-3881698
  • 国际标准刊号：ISSN：1002-0462
  • 国内统一刊号：ISSN：41-1102/O1
  • 邮发代号:36-170
  • 获奖情况:
  • 1998年河南省优秀科技期刊二等奖. 2000年河南省优...
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  • 被引量:468