ON THE ENERGY DECAY OF A LINEAR THERMOELASTIC BAR

被引：32

作者：

BURNS, JA

LIU, ZY

ZHENG, SM

机构：

[1] UNIV MINNESOTA,DEPT MATH & STAT,DULUTH,MN 55812

[2] FUDAN UNIV,INST MATH,SHANGHAI 200433,PEOPLES R CHINA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1993年 / 179卷 / 02期

关键词：

D O I：

10.1006/jmaa.1993.1370

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, it is proved that the energy of the one-dimensional linear thermoelastic system with the commonly used natural boundary conditions decays exponentially when the gradient of the initial displacement, the initial velocity, and the initial temperature distribution are all the L2 functions. © 1993 Academic Press, Inc.

引用

页码：574 / 591

页数：18

共 50 条

[41] Decay of solutions in nonhomogeneous thermoelastic diffusion bars
Boulehmi, Kaouther
Aouadi, Moncef
APPLICABLE ANALYSIS, 2014, 93 (02) : 281 - 304
[42] Some exponential decay estimates for thermoelastic mixtures
Passarella, Francesca
Zampoli, Vittorio
JOURNAL OF THERMAL STRESSES, 2007, 30 (01) : 25 - 41
[43] Energy decay for linear dissipative wave equations in exterior domains
Aloui, Lassaad
Ibrahim, Slim
Khenissi, Moez
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (05) : 2061 - 2079
[44] Local Energy Decay for Linear Wave Equations with Localized Dissipation
Ikehata, Ryo
FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2005, 48 (03): : 351 - 366
[45] Local energy decay for linear wave equations with variable coefficients
Ikehata, R
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 306 (01) : 330 - 348
[46] Lp-Lq decay estimates for Cauchy problems of linear thermoelastic systems with second sound in three dimensions
Wang, YG
Yang, L
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2006, 136 : 189 - 207
[47] A NOTE ON THE SPATIAL DECAY ESTIMATES IN NON-CLASSICAL LINEAR THERMOELASTIC SEMI-CYLINDRICAL BOUNDED DOMAINS
Awad, Emad S.
JOURNAL OF THERMAL STRESSES, 2011, 34 (02) : 147 - 160
[48] Lp - Lq decay estimates for the Cauchy problem of linear thermoelastic systems with second sound in one space variable
College of Mathematics and Economics, Hunan University, Changsha 410082, China
不详
Q. Appl. Math., 2006, 1 (1-15):
[49] Well-posedness and energy decay for some thermoelastic systems of Timoshenko type with Kelvin–Voigt damping
Dridi H.
Zennir K.
SeMA Journal, 2021, 78 (3) : 385 - 400
[50] Observation of the decay χcJ → ω-ω over bar
Ablikim, M.
Achasov, M. N.
Adlarson, P.
Aliberti, R.
Amoroso, A.
An, M. R.
An, Q.
Bai, Y.
Bakina, O.
Balossino, I.
Ban, Y.
Batozskaya, V.
Begzsuren, K.
Berger, N.
Bertani, M.
Bettoni, D.
Bianchi, F.
Bianco, E.
Bloms, J.
Bortone, A.
Boyko, I
Briere, R. A.
Brueggemann, A.
Cai, H.
Cai, X.
Calcaterra, A.
Cao, G. F.
Cao, N.
Cetin, S. A.
Chang, J. F.
Chang, T. T.
Chang, W. L.
Che, G. R.
Chelkov, G.
Chen, C.
Chen, Chao
Chen, G.
Chen, H. S.
Chen, M. L.
Chen, S. J.
Chen, S. M.
Chen, T.
Chen, X. R.
Chen, X. T.
Chen, Y. B.
Chen, Y. Q.
Chen, Z. J.
Cheng, W. S.
Choi, S. K.
Chu, X.
PHYSICAL REVIEW D, 2023, 107 (09)

← 1 2 3 4 5 →