Decay property of regularity-loss type for dissipative timoshenko system

Kentaro Ide, Kazuo Haramoto, Shuichi Kawashima

Research output: Contribution to journalArticle

61 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)647-667
Number of pages21
JournalMathematical Models and Methods in Applied Sciences
Volume18
Issue number5
DOIs
Publication statusPublished - May 1 2008

Fingerprint

Decay Estimates
Regularity
Decay
Linear Diffusion
Pointwise Estimates
Heat Kernel
Refinement
Infinity
Tend
Hot Temperature

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

Cite this

Decay property of regularity-loss type for dissipative timoshenko system. / Ide, Kentaro; Haramoto, Kazuo; Kawashima, Shuichi.

In: Mathematical Models and Methods in Applied Sciences, Vol. 18, No. 5, 01.05.2008, p. 647-667.

Research output: Contribution to journalArticle

Ide, Kentaro ; Haramoto, Kazuo ; Kawashima, Shuichi. / Decay property of regularity-loss type for dissipative timoshenko system. In: Mathematical Models and Methods in Applied Sciences. 2008 ; Vol. 18, No. 5. pp. 647-667.
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