Decay property for the timoshenko system with memory-type dissipation

Yongqin Liu, Shuichi Kawashima

研究成果: Contribution to journalArticle査読

20 被引用数 (Scopus)

抄録

In this paper we consider the initial value problem for the Timoshenko system with a memory term. We construct the fundamental solution by using the Fourier-Laplace transform and obtain the solution formula of the problem. Moreover, applying the energy method in the Fourier space, we derive the pointwise estimate of solutions in the Fourier space, which gives a sharp decay estimate of solutions. It is shown that the decay property of the system is of the regularity-loss type and is weaker than that of the Timoshenko system with a frictional dissipation.

本文言語英語
論文番号1150012-1
ジャーナルMathematical Models and Methods in Applied Sciences
22
2
DOI
出版ステータス出版済み - 2 2012

All Science Journal Classification (ASJC) codes

  • モデリングとシミュレーション
  • 応用数学

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