Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (1): 194-209.

• Articles • Previous Articles     Next Articles

Energy Decay Estimates for the Weakly Coupled Systems with Local Memory Damping

 ZHANG Chun-Guo, ZHANG Hai-Yan, GU Shang-Wu   

  1. Department of Mathematics, Hangzhou Dianzi University, Hangzhou Zhejiang 310018
  • Received:2013-11-07 Revised:2014-10-04 Online:2015-02-25 Published:2015-02-25

Abstract:

This paper studies the weakly coupled beam-string systems with local memory damping. First, under the appropriate hypothesis, we proved that the well-posedness of the system by using the theory of linear operator semigroup. And then, we show that the energy of the weakly coupled beam-string system with local memory damping is uniform exponential decay by applying the frequence domain
 result on Hilbert space.

Key words: Coupled beam-string system ,  Linear operator semigroup ,  Local memory damping ,  Uniform exponential decay

CLC Number: 

  • 35B37
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