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

Naofumi Mori, Shuichi Kawashima, P. G. LeFloch

研究成果: Contribution to journalArticle査読

23 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)135-157
ページ数23
ジャーナルJournal of Hyperbolic Differential Equations
11
1
DOI
出版ステータス出版済み - 3 2014

All Science Journal Classification (ASJC) codes

  • 分析
  • 数学 (全般)

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