Decay property of regularity-loss type for dissipative timoshenko system

Kentaro Ide, Kazuo Haramoto, Shuichi Kawashima

研究成果: Contribution to journalArticle査読

80 被引用数 (Scopus)

抄録

We study the decay property of the dissipative Timoshenko system in the one-dimensional whole space. We derive the L2 decay estimates of solutions in a general situation and observe that this decay structure is of the regularity-loss type. Also, we give a refinement of these decay estimates for some special initial data. Moreover, under enough regularity assumption on the initial data, we show that the solution approaches the linear diffusion wave expressed in terms of the heat kernels as time tends to infinity. The proof is based on the detailed pointwise estimates of solutions in the Fourier space.

本文言語英語
ページ(範囲)647-667
ページ数21
ジャーナルMathematical Models and Methods in Applied Sciences
18
5
DOI
出版ステータス出版済み - 5 2008

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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