Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity

Reinhard Racke, Yoshihiro Shibata, Songmu Zheng

研究成果: Article査読

35 被引用数 (Scopus)

抄録

We are mainly concerned with the Dirichlet initial boundary value problem in one-dimensional nonlinear thermoelasticity. It is proved that if the initial data are close to the equilibrium then the problem admits a unique, global, smooth solution. Moreover, as time tends to infinity, the solution is exponentially stable. As a corollary we also obtain the existence of periodic solutions for small, periodic right-hand sides.

本文言語English
ページ(範囲)751-763
ページ数13
ジャーナルQuarterly of Applied Mathematics
51
4
DOI
出版ステータスPublished - 1993
外部発表はい

ASJC Scopus subject areas

  • Applied Mathematics

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