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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (11): 1453-1462.doi: https://doi.org/10.1007/s10483-010-1375-9

• Articles • 上一篇    下一篇

Regularity and finite dimensionality of attractor for plate equation on Rn

肖海滨1,2   

  1. 1. Department of Mathematics, Ningbo University, Ningbo 315211, Zhejiang Province, P. R. China;
    2. Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China
  • 收稿日期:2009-12-02 修回日期:2010-09-22 出版日期:2010-11-01 发布日期:2010-11-01

Regularity and finite dimensionality of attractor for plate equation on Rn

 XIAO Hai-Bin1,2   

  1. 1. Department of Mathematics, Ningbo University, Ningbo 315211, Zhejiang Province, P. R. China;
    2. Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China
  • Received:2009-12-02 Revised:2010-09-22 Online:2010-11-01 Published:2010-11-01

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摘要： This paper addresses the regularity and finite dimensionality of the global attractor for the plate equation on the unbounded domain. The existence of the attractor in the phase space has been established in an earlier work of the author. It is shown that the attractor is actually a bounded set of the phase space and has finite fractal dimensionality.

Abstract: This paper addresses the regularity and finite dimensionality of the global attractor for the plate equation on the unbounded domain. The existence of the attractor in the phase space has been established in an earlier work of the author. It is shown that the attractor is actually a bounded set of the phase space and has finite fractal dimensionality.

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