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

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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.

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Authors and Affiliations

  1. Department of Applied Mathematics, Shanghai Normal University, Shanghai, 200234, P. R. China

    Jin-wu Huang  (黄锦舞) & Sheng-fan Zhou  (周盛凡)

  2. Department of Mathematics and Statistics, Auburn University, Auburn, Alabama, 36849, USA

    Xiao-ying Han  (韩晓莹)

Authors
  1. Jin-wu Huang  (黄锦舞)
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  2. Xiao-ying Han  (韩晓莹)
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  3. Sheng-fan Zhou  (周盛凡)
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Corresponding author

Correspondence to Sheng-fan Zhou  (周盛凡).

Additional information

Communicated by Li-qun CHEN

Project supported by the National Natural Science Foundation of China (No. 10771139), the Ph. D. Program of Ministry of Education of China (No. 200802700002), the Shanghai Leading Academic Discipline Project (No. S30405), the Innovation Program of Shanghai Municipal Education Commission (No. 08ZZ70), the Foundation of Shanghai Talented Persons (No. 049), the Leading Academic Discipline Project of Shanghai Normal University (No. DZL707), and the Foundation of Shanghai Normal University (No. DYL200803)

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Huang, Jw., Han, Xy. & Zhou, Sf. Uniform attractors for non-autonomous Klein-Gordon-Schrödinger lattice systems. Appl. Math. Mech.-Engl. Ed. 30, 1597–1607 (2009). https://doi.org/10.1007/s10483-009-1211-z

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  • DOI: https://doi.org/10.1007/s10483-009-1211-z

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2000 Mathematics Subject Classification

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