Decay property for the timoshenko system with memory-type dissipation

Yongqin Liu, Shuichi Kawashima

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number1150012-1
JournalMathematical Models and Methods in Applied Sciences
Volume22
Issue number2
DOIs
Publication statusPublished - 2012 Feb 1
Externally publishedYes

Fingerprint

Dissipation
Decay
Data storage equipment
Pointwise Estimates
Memory Term
Decay Estimates
Initial value problems
Laplace transforms
Energy Method
Fundamental Solution
Laplace transform
Initial Value Problem
Fourier transform
Fourier transforms
Regularity

Keywords

  • Decay property
  • Pointwise estimate in the Fourier space
  • Regularity-loss type
  • Timoshenko system with memory

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

Cite this

Decay property for the timoshenko system with memory-type dissipation. / Liu, Yongqin; Kawashima, Shuichi.

In: Mathematical Models and Methods in Applied Sciences, Vol. 22, No. 2, 1150012-1, 01.02.2012.

Research output: Contribution to journalArticle

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