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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 • Previous Articles     Next Articles

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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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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