Decay property for the timoshenko system with fourier's type heat conduction

Naofumi Mori, Shuichi Kawashima, P. G. LeFloch

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

We study the Timoshenko system with Fourier's type heat conduction in the one-dimensional (whole) space. We observe that the dissipative structure of the system is of the regularity-loss type, which is somewhat different from that of the dissipative Timoshenko system studied earlier by Ide-Haramoto-Kawashima. Moreover, we establish optimal L2 decay estimates for general solutions. The proof is based on detailed pointwise estimates of solutions in the Fourier space. Also, we introuce here a refinement of the energy method employed by Ide-Haramoto-Kawashima for the dissipative Timoshenko system, which leads us to an improvement on their energy method.

Original languageEnglish
Pages (from-to)135-157
Number of pages23
JournalJournal of Hyperbolic Differential Equations
Volume11
Issue number1
DOIs
Publication statusPublished - 2014 Jan 1
Externally publishedYes

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Heat Conduction
Decay
Energy Method
Dissipative Structure
Pointwise Estimates
Decay Estimates
General Solution
Refinement
Regularity

Keywords

  • asymptotic behavior
  • decay property
  • Timoshenko system with thermal effects

ASJC Scopus subject areas

  • Analysis
  • Mathematics(all)

Cite this

Decay property for the timoshenko system with fourier's type heat conduction. / Mori, Naofumi; Kawashima, Shuichi; LeFloch, P. G.

In: Journal of Hyperbolic Differential Equations, Vol. 11, No. 1, 01.01.2014, p. 135-157.

Research output: Contribution to journalArticle

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