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

doi:10.1007/s10483-009-1211-z

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

• Articles • 上一篇

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

黄锦舞¹ 韩晓莹² 周盛凡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

收稿日期:2009-05-13 修回日期:2009-10-19 出版日期:2009-12-23 发布日期:2009-12-01

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

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

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

摘要/Abstract

摘要： 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.

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

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

中图分类号:

黄锦舞韩晓莹周盛凡. Uniform attractors for non-autonomous Klein-Gordon-Schrödinger lattice systems[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(12): 1597-.

HUANG Jin-Wu;HAN Xiao-Ying;ZHOU Sheng-Fan. Uniform attractors for non-autonomous Klein-Gordon-Schrödinger lattice systems[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(12): 1597-.

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

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

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