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 |
| 巻 | 51 |
| 号 | 4 |
| DOI | |
| 出版ステータス | Published - 1993 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 応用数学