Global existence and asymptotic decay of solutions to the nonlinear Timoshenko system with memory

Yongqin Liu, Shuichi Kawashima

研究成果: Contribution to journalArticle査読

10 被引用数 (Scopus)

抄録

In this paper we consider the initial-value problem for the nonlinear Timoshenko system with a memory term. Due to the regularity-loss property and weak dissipation, we have to assume stronger nonlinearity than usual. By virtue of the semi-group arguments, we obtain the global existence and optimal decay of solutions to the nonlinear problem under smallness and enough regularity assumptions on the initial data, where we employ a time-weighted L2 energy method combined with the optimal L2 decay of lower-order derivatives of solutions.

本文言語英語
ページ(範囲)1-17
ページ数17
ジャーナルNonlinear Analysis, Theory, Methods and Applications
84
DOI
出版ステータス出版済み - 2013

All Science Journal Classification (ASJC) codes

  • 分析
  • 応用数学

フィンガープリント

「Global existence and asymptotic decay of solutions to the nonlinear Timoshenko system with memory」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル