Exponential Stability of Weak Solutions to Linear Thernioviscoelastic Systems

Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (3): 465-474.

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.

Abstract

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

CLC Number:

O175.8

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]	TANG Zhong-hua, FANG Shao-mei. Implicit Finite Difference Method for Time-Space Caputo-Riesz Fractional Diffusion Equation with Fractional Robin Boundary Conditions [J]. Chinese Quarterly Journal of Mathematics, 2024, 39(1): 18-30.
[2]	XU Na. The Existence of Ground State Solutions for a Class of Sublinear Kirchhoff Equations [J]. Chinese Quarterly Journal of Mathematics, 2023, 38(4): 410-414.
[3]	WANG Ke, PAN Pan-pan. Exact Boundary Controllability for a 1-D Second-Order Quasilinear Hyperbolic System [J]. Chinese Quarterly Journal of Mathematics, 2023, 38(4): 424-440.
[4]	LIANG Yan-xia. The Existence of Normalized Solution to the Kirchhoff#br# Equation with Potential#br# [J]. Chinese Quarterly Journal of Mathematics, 2023, 38(2): 196-209.
[5]	BAI Hong-fang. Stability and Hopf Bifurcation of an Eco-Epidemiological Model with Delay [J]. Chinese Quarterly Journal of Mathematics, 2023, 38(2): 157-183.
[6]	LI Yong-feng, ZHU Cheng-zhi, LIU Yan-wei. Dynamic Analysis of a Predator-Prey Model with State-Dependent Impulsive Effects [J]. Chinese Quarterly Journal of Mathematics, 2023, 38(1): 1-19.
[7]	DAI Bing-bing, ZHANG Rui-feng. The Polynomial Function Model in Born-Infeld Theory [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(3): 221-236.
[8]	DONG Yan-shou, HAN Yan, DAI Ting-ting. Existence and Exponential Stability of Almost Periodic Solutions to General BAM Neural Networks with Leakage Delays on Time Scales [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(2): 189-202.
[9]	QIN Yu-ming, HAN Ning. Well-Posedness for Timoshenko System with Thermodiffusion Effects and Delay [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(1): 1-9.
[10]	LIU Kai-kai, YANG Yun-rui, LI Xiao-wu. Stability of Traveling Wavefronts for a Spatially Nonlocal Population Model with Delay [J]. Chinese Quarterly Journal of Mathematics, 2022, 37(1): 37-51.
[11]	SONG Xue, YANG Yun-rui, YANG Lu. Triple Positive Solutions to a Third-Order m-Point Boundary Value Problem [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(4): 369-375.
[12]	LIU Li-na, YUAN Yu-ying, YUAN Yong-xin . Updating Mass and Stiffness Matrices Using Eigenstructure Assignment Methods [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(4): 419-429.
[13]	SHI Jin-cheng , XIAO Sheng-zhong. Continuous Dependence for a Brinkman-Forchheimer Type Model with Temperature-Dependent Solubility [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(3): 308-319.
[14]	LI Wen-tao, LI Zhang, ZHU Chun-long, XU Wei-hua. Neighborhood-Based Set-Valued Double-Quantitative Rough Sets [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(2): 122-140.
[15]	ZHANG Shi-jun , WANG Shi-heng , WANG Ke. AOR Iterative Method for Coupled Lyapunov Matrix Equations [J]. Chinese Quarterly Journal of Mathematics, 2021, 36(2): 141-148.

Exponential Stability of Weak Solutions to Linear Thernioviscoelastic Systems

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments