线性热粘弹性方程组弱解的指数稳定性

数学季刊 ›› 2006, Vol. 21 ›› Issue (3): 465-474.

• • 上一篇

线性热粘弹性方程组弱解的指数稳定性

Department of Mathematics, Xuchang Vocational Technical College, Xuchang 461000, China; Department of Mathematics, Zhumadian Educational College, Zhumadian 463000, China

收稿日期:2005-04-06 出版日期:2006-09-30 发布日期:2023-11-30
作者简介:HUANG Jian-lin(1964-),male,native of Changge,Henan,a lecture of Xuchang Vocational Technical College,engages in PDE.

Exponential Stability of Weak Solutions to Linear Thernioviscoelastic Systems

Department of Mathematics, Xuchang Vocational Technical College, Xuchang 461000, China; Department of Mathematics, Zhumadian Educational College, Zhumadian 463000, China

Received:2005-04-06 Online:2006-09-30 Published:2023-11-30
About author:HUANG Jian-lin(1964-),male,native of Changge,Henan,a lecture of Xuchang Vocational Technical College,engages in PDE.

摘要/Abstract

摘要： This paper is concerned with the exponential stability of weak solutions to a linear one-dimensional thermoviscoelastic system with clamped boundary conditions. This system defines a C₀-semigroup {S(t)}_t≥0on the space L²(0,1)×C¹(0,1)×H¹(0, 1), which processes the property of the exponential stability.

关键词: Exponential , stability, weak , solutions, thermoviscoelastic , system

Abstract: This paper is concerned with the exponential stability of weak solutions to a linear one-dimensional thermoviscoelastic system with clamped boundary conditions. This system defines a C₀-semigroup {S(t)}_t≥0on the space L²(0,1)×C¹(0,1)×H¹(0, 1), which processes the property of the exponential stability.

Key words: Exponential , stability, weak , solutions, thermoviscoelastic , system

中图分类号:

O175.8

黄建林, 张环理. 线性热粘弹性方程组弱解的指数稳定性[J]. 数学季刊, 2006, 21(3): 465-474.

HUANG Jian-lin, ZHANG Huan-li . Exponential Stability of Weak Solutions to Linear Thernioviscoelastic Systems[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(3): 465-474.

[1]	张任鹏, 王波, 王强. 水沙输运模型的间断有限元方法[J]. 数学季刊, 2024, 39(4): 355-365.
[2]	张露露, 杨彦敏, 陈伟. N-比特系统更紧的单配性不等式[J]. 数学季刊, 2024, 39(4): 407-419.
[3]	邓婧涛. 一些非齐次常微分方程的 Hyers-Ulam 稳定性与 Hyers-Ulam 不稳定性[J]. 数学季刊, 2024, 39(4): 420-430.
[4]	李楠, 赵慧燕, 许丽萍. 带有非常数位势的非线性 Choquard 方程正规化基态解[J]. 数学季刊, 2024, 39(3): 250-261.
[5]	赵杰, 吴喜民, 王娟. 重复齐次化问题的强收敛率[J]. 数学季刊, 2024, 39(2): 171-179.
[6]	唐忠华, 房少梅. 带分数阶Robin边界条件的时间-空间分数阶扩散方程的有限差分方法[J]. 数学季刊, 2024, 39(1): 18-30.
[7]	许娜. 一类次线性基尔霍夫方程基态解的存在性[J]. 数学季刊, 2023, 38(4): 410-414.
[8]	王珂, 潘盼盼. 一个一维二阶拟线性双曲组的精确边界能控性[J]. 数学季刊, 2023, 38(4): 424-440.
[9]	白宏芳. 一类具有时滞的生态流行病模型的稳定性与 Hopf 分支[J]. 数学季刊, 2023, 38(2): 157-183.
[10]	梁艳霞. 带位势的基尔霍夫方程规范解的存在性[J]. 数学季刊, 2023, 38(2): 196-209.
[11]	李永凤, 朱城志, 刘艳伟. 一类具有状态依赖脉冲影响的捕食者-食饵模型动力学分析[J]. 数学季刊, 2023, 38(1): 1-19.
[12]	代兵兵, 张瑞凤. Born-Infeld理论中的多项式函数模型[J]. 数学季刊, 2022, 37(3): 221-236.
[13]	董延寿, 韩艳, 代婷婷. 时间尺度上具有泄漏时滞的一般BAM神经网络概周期解的存在性和指数稳定性[J]. 数学季刊, 2022, 37(2): 189-202.
[14]	秦玉明, 韩宁. 带有时滞和热扩散效应的 Timoshenko 系统的适定性 [J]. 数学季刊, 2022, 37(1): 1-9.
[15]	刘凯凯, 杨赟瑞, 李孝武. 一类空间非局部的时滞种群模型波前解的稳定性 [J]. 数学季刊, 2022, 37(1): 37-51.

线性热粘弹性方程组弱解的指数稳定性

Exponential Stability of Weak Solutions to Linear Thernioviscoelastic Systems

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价