On the influence of a dissipative boundary on the energy decay for a porous elastic solid

被引:11
作者
Lazzari, Barbara [1 ]
Nibbi, Roberta [1 ]
机构
[1] Univ Bologna, Dept Math, I-40126 Bologna, Italy
关键词
Porous-elasticity; Dissipative boundary; Exponential stability; EXPONENTIAL DECAY; VOIDS; MEMORY;
D O I
10.1016/j.mechrescom.2009.01.010
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper we study the asymptotic behavior of a porous elastic solid with a dissipative boundary. We prove that the energy exponentially decays when the porosity viscosity is present. (c) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:581 / 586
页数:6
相关论文
共 50 条
  • [21] On the time decay for an elastic problem with three porous structures
    Fernandez, Jose R.
    Quintanilla, Ramon
    MECHANICS OF TIME-DEPENDENT MATERIALS, 2024, 28 (02) : 653 - 662
  • [22] EXPONENTIAL DECAY OF THE SOLUTION OF A DOUBLE POROUS ELASTIC SYSTEM
    Nemsi, Aicha
    Fareh, Abdelfeteh
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2021, 83 (01): : 41 - 50
  • [23] Energy Decay of Solutions of Porous-Elastic System With Kelvin-Voigt Damping and Infinite Memory
    Al-Mahdi, Adel M.
    Al-Gharabli, Mohammed
    Apalara, Tijani A.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025,
  • [24] Local energy decay and diffusive phenomenon in a dissipative wave guide
    Royer, Julien
    JOURNAL OF SPECTRAL THEORY, 2018, 8 (03) : 769 - 841
  • [25] General decay of solutions in one-dimensional porous-elastic system with memory
    Apalara, Tijani A.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 469 (02) : 457 - 471
  • [26] Exponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipation
    Moncef Aouadi
    Barbara Lazzari
    Roberta Nibbi
    Zeitschrift für angewandte Mathematik und Physik, 2012, 63 : 961 - 973
  • [27] On the exponential decay of the Euler-Bernoulli beam with boundary energy dissipation
    Lazzari, Barbara
    Nibbi, Roberta
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 389 (02) : 1078 - 1085
  • [28] BOUNDARY EXACT CONTROLLABILITY FOR A POROUS ELASTIC TIMOSHENKO SYSTEM
    Santos, Manoel J. Abaetetuba
    Raposo, Carlos A. Sao Joao del-Rei
    Rodrigues, Leonardo R. S. Codo
    APPLICATIONS OF MATHEMATICS, 2020, 65 (04) : 343 - 354
  • [29] Boundary exact controllability for a porous elastic Timoshenko system
    Manoel J. Santos
    Carlos A. Raposo
    Leonardo R. S. Rodrigues
    Applications of Mathematics, 2020, 65 : 343 - 354
  • [30] Rates of decay for locally damped porous-elastic systems with history via operator semigroups
    Duan, Yu-Ying
    Xiao, Ti-Jun
    SEMIGROUP FORUM, 2025, 110 (01) : 162 - 189