Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (4): 1338-1348.doi: 10.1016/S0252-9602(12)60103-9

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PULLBACK ATTRACTORS FOR THE NON-AUTONOMOUS BENJAMIN-BONA-MAHONY EQUATIONS IN H2

 QIN Yu-Ming1, YANG Xin-Guang2, LIU Xin3   

  1. 1.Department of Applied Mathematics, Donghua University, Shanghai 201620, China; 2.College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China; 3.College of Information Science and Technique, Donghua University, Shanghai 201620, China
  • Received:2011-01-07 Revised:2011-08-31 Online:2012-07-20 Published:2012-07-20
  • Supported by:

    The work was in part supported by the NSF of China(11031003, 10871040).

Abstract:

In this paper, we prove the existence of the pullback attractor for the non-autonomous Benjamin-Bona-Mahony equations in H2 by establishing the pullback uni-formly asymptotical compactness.

Key words: Benjamin-Bona-Mahony equations, processes, pullback attractor

CLC Number: 

  • 53A08
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