Korean J. Math. Vol. 24 No. 3 (2016) pp.375-395
DOI: https://doi.org/10.11568/kjm.2016.24.3.375

Global attractors and regularity for the extensible suspension bridge equations with past history

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Published: Sep 30, 2016
Keywords:
extensible suspension bridge equations, global attractors, a bounded absorbing set, past history
Mathematics Subject Classification:
35B40, 35B41, 35B45

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Shifang Liu
College of Mathematics and Statistics Northwest Normal University Lanzhou, Gansu 730070, China
Qiaozhen Ma
College of Mathematics and Statistics Northwest Normal University Lanzhou, Gansu 730070, China

Abstract

In this paper, we study the long-time dynamical behavior for the extensible suspension bridge equations with past history. We prove the existence of the global attractors by using the contraction function method. Furthermore, the regularity of global attractor is achieved.


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Supporting Agencies

This work was partly supported by the NSFC (11561064 11361053) and partly supported by NWNU-LKQN-14-6.

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