Global solutions to the equation of thermoelasticity with fading memory

Mari Okada*, Shuichi Kawashima

*この研究の対応する著者

研究成果: Article査読

4 被引用数 (Scopus)

抄録

We consider the initial-history value problem for the one-dimensional equation of thermoelasticity with fading memory. It is proved that if the data are smooth and small, then a unique smooth solution exists globally in time and converges to the constant equilibrium state as time goes to infinity. Our proof is based on a technical energy method which makes use of the strict convexity of the entropy function and the properties of strongly positive definite kernels.

本文言語English
ページ(範囲)338-364
ページ数27
ジャーナルJournal of Differential Equations
263
1
DOI
出版ステータスPublished - 2017 7月 5
外部発表はい

ASJC Scopus subject areas

  • 分析
  • 応用数学

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