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 |
| 巻 | 263 |
| 号 | 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