Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (12): 1597-.doi: https://doi.org/10.1007/s10483-009-1211-z

• Articles • Previous Articles    

Uniform attractors for non-autonomous Klein-Gordon-Schrödinger lattice systems

HUANG Jin-Wu1, HAN Xiao-Ying2, ZHOU Sheng-Fan1   

  1. 1. Department of Applied Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China;
    2. Department of Mathematics and Statistics, Auburn University, Auburn, Alabama 36849, United States of America
  • Received:2009-05-13 Revised:2009-10-19 Online:2009-12-23 Published:2009-12-01

Abstract: The existence of a compact uniform attractor for a family of processes corresponding to the dissipative non-autonomous Klein-Gordon-Schrödinger lattice dynamical system is proved. An upper bound of the Kolmogorov entropy of the compact uniform attractor is obtained, and an upper semicontinuity of the compact uniform attractor is established.

Key words: compact uniform attractor, non-autonomous, Klein-Gordon-Schrödinger lattice system, Kolmogorov entropy, supper semicontinuity

2010 MSC Number: 

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