Analyticity of thermo-elastic semigroups with free boundary conditions

Analyticity of thermo-elastic semigroups with free boundary conditions
复制标题

具有自由边界条件的热弹性半群的解析性

DOI：
--
复制
发表时间：
1973
期刊：
影响因子：
--
通讯作者：
R. Triggiani
R. Triggiani
中科院分区：
--
文献类型：
--
作者：
I. Lasiecka;R. Triggiani

文献摘要

被引文献

相似文献

我们考虑一个热弹性板系统，其中弹性方程
We consider a thermo-elastic plate system where the elastic equation does not account for rotational forces. Of all canonical boundary conditions (B.C.), we focus on the most challenging case unsolved in the literature: that of free B.C., which are coupled. As in other simpler B.C.-cases, we show that the corresponding s.c. contraction semigroup (on a natural energy space) is analytic, and, hence, uniformly stable. The proof employs P.D.E. methods and estimates. Thus, this paper completes the authors’ analysis [L-T.1 ], [L-T.2], spurred by the original important contribution [L-R.1 ], on analyticity of thermo-elastic semigroups with no rotational forces: under all canonical B.C., they are analytic, hence uniformly stable.