Decay property of regularity-loss type and nonlinear effects for dissipative timoshenko system

Kentaro Ide, Shuichi Kawashima

研究成果: Contribution to journalArticle査読

61 被引用数 (Scopus)

抄録

We consider the initial value problem for a nonlinear version of the dissipative Timoshenko system. This syetem verifies the decay property of regularity-loss type. To overcome this difficulty caused by the regularity-loss property, we employ the time weighed L2 energy method which is combined with the optimal L2 decay estimates for lower order derivatives of solutions. Then we show the global existence and asymptotic decay of solutions under smallness and enough regularity conditions on the initial data. Moreover, we show that the solution approaches the linear diffusion wave expressed in terms of the superposition of the heat kernels as time tends to infinity.

本文言語英語
ページ(範囲)1001-1025
ページ数25
ジャーナルMathematical Models and Methods in Applied Sciences
18
7
DOI
出版ステータス出版済み - 7 1 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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