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Global attractors for nonlinear beam equations

Published online by Cambridge University Press:  20 September 2012

Reinhard Racke  and
Chanyu Shang
Reinhard Racke
Affiliation:
Department of Mathematics and Statistics, University of Konstanz, 78457 Konstanz, Germany (reinhard.racke@uni-konstanz.de)
Chanyu Shang
Affiliation:
Department of Mathematics, Shanghai Jiaotong University, 200240 Shanghai, People's Republic of China (chanyufd@gmail.com)
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Abstract

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This paper is concerned with the dynamics of nonlinear one-dimensional beam equations. We consider nonlinear beam equations with viscosity or with a lower-order damping term instead of the viscosity, and we establish the existence of global attractors for both systems.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 142 , Issue 5 , October 2012 , pp. 1087 - 1107
Copyright
Copyright © Royal Society of Edinburgh 2012