Decay property for the timoshenko system with memory-type dissipation

Yongqin Liu, Shuichi Kawashima

研究成果: Article

19 引用 (Scopus)

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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.

元の言語English
記事番号1150012-1
ジャーナルMathematical Models and Methods in Applied Sciences
22
発行部数2
DOI
出版物ステータスPublished - 2012 2 1
外部発表Yes

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

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