Exponential stability and analyticity of abstract linear thermoelastic systems

Kangsheng Liu; Zhuangyi Liu

首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >Exponential stability and analyticity of abstract linear thermoelastic systems

【24h】

Exponential stability and analyticity of abstract linear thermoelastic systems

机译：抽象线性热弹性系统的指数稳定性和解析性

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

This paper develops an abstract framework for analysis of linear thermolelastic systems. Linear semigroup theory is used to establish the well-posedness. Sufficient conditions for the exponential stability and analyticity of the associated semigroups for the thermolelastic systems are obtained via the frequency domain method and a contradiction argument. The results are applied to linear thermolelastic rods, beams and plates of homogeneous and nonhomogeneous material with various boundary conditions.

机译：本文开发了一种用于分析线性热弹性系统的抽象框架。线性半群理论用于建立适定性。通过频域方法和矛盾论证，获得了热弹性系统相关半群的指数稳定性和解析性的充分条件。该结果适用于具有各种边界条件的均质和非均质材料的线性热弹性杆，梁和板。

著录项

来源
《ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees》 |1997年第6期|共20页
作者
Kangsheng Liu; Zhuangyi Liu;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Linear thermolelastic system; exponential stability; analyticity; semigroup;

机译：线性热弹性系统指数稳定性解析性半群;

相似文献

外文文献
中文文献
专利

1. Exponential stability and analyticity of abstract linear thermoelastic systems [J] . Kangsheng Liu, Zhuangyi Liu ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 1997,第6期

机译：抽象线性热弹性系统的指数稳定性和解析性
2. A nonlinear thermoelastic Bresse system: Global existence and exponential stability [J] . Fatori Luci Harue, de Lima Pedro Roberto, Fernandez Sare Hugo D. Journal of Mathematical Analysis and Applications . 2016,第2期

机译：非线性热弹性Bresse系统：整体存在和指数稳定性
3. Stability properties of an abstract system with applications to linear thermoelastic plates [J] . DellOro F., Rivera J.E.M., Pata V. Journal of evolution equations . 2013,第4期

机译：抽象系统在线性热弹性板上的稳定性
4. A Riesz basis approach to exponential stability in thermoelasticity of type III [C] . Wang Jing, Wang Jun-Min Asian Control Conference . 2013

机译：III型热弹性指数稳定性的Riesz基方法
5. Design sensitivity analysis for nonlinear dynamic thermoelastic systems. [D] . Tortorelli, Daniel Anthony. 1989

机译：非线性动态热弹性系统的设计灵敏度分析。
6. Convergence and stability of the exponential Euler method for semi-linear stochastic delay differential equations [O] . Ling Zhang -1

机译：半线性随机时滞微分方程指数Euler方法的收敛性和稳定性
7. Stability of abstract linear thermoelastic systems with memory [O] . C. GIORGI, PATA V. 2001

机译：具有记忆的抽象线性热弹性系统的稳定性

Exponential stability and analyticity of abstract linear thermoelastic systems

摘要

著录项

相似文献

相关主题

期刊订阅