ON THE ENERGY DECAY OF A LINEAR THERMOELASTIC BAR

被引：33
|
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
收藏
页码：574 / 591
页数：18
相关论文
共 50 条
  • [21] Energy decay in thermoelastic diffusion theory with second sound and dissipative boundary
    Moncef Aouadi
    Barbara Lazzari
    Roberta Nibbi
    Meccanica, 2013, 48 : 2159 - 2171
  • [22] ENERGY DECAY IN A PROBLEM OF LINEAR THERMOELASTICITY
    DAY, WA
    MATHEMATIKA, 1981, 28 (55) : 102 - 115
  • [23] Local energy decay in linear elastodynamics
    Russo, Antonio
    Tartaglione, Alfonsina
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (03) : 338 - 346
  • [24] ENERGY DECAY RATE OF A MIXED TYPE II AND TYPE III THERMOELASTIC SYSTEM
    Liu, Zhuangyi
    Quintanilla, Ramon
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2010, 14 (04): : 1433 - 1444
  • [25] The energy decay rate for the modified von Karman system of thermoelastic plates: An improvement
    Menzala, GP
    Zuazua, E
    APPLIED MATHEMATICS LETTERS, 2003, 16 (04) : 531 - 534
  • [26] On energy decay rate for linear damped systems
    Aassila, M
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2002, 8 (04) : 851 - 864
  • [27] Linear theory of thermoelastic relaxed micromorphic continuum without energy dissipation
    Bala, Suman
    Khurana, Aarti
    Tomar, S. K.
    ARCHIVE OF APPLIED MECHANICS, 2022, 92 (12) : 3801 - 3816
  • [28] Linear theory of thermoelastic relaxed micromorphic continuum without energy dissipation
    Suman Bala
    Aarti Khurana
    S. K. Tomar
    Archive of Applied Mechanics, 2022, 92 : 3801 - 3816
  • [29] Exponential decay to partially thermoelastic materials (*).
    Rivera, JEM
    Bisognin, V
    Bisognin, E
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2002, 5B (03): : 605 - 629
  • [30] On the decay of a porous thermoelastic system with microtemperature
    Ahmima, Afaf
    Fareh, Abdelfeteh
    RICERCHE DI MATEMATICA, 2023, 74 (1) : 1 - 18
12345