Uniform Decay Rates for Viscoelastic Dissipative Systems

被引：24
|
作者：
Mustafa, Muhammad I. [1 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, POB 860, Dhahran 31261, Saudi Arabia
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2016年 / 22卷 / 01期
关键词：
General decay; Stability; Weak frictional damping; Relaxation function; Viscoelasticity; Convexity; Wave equation; SEMILINEAR WAVE-EQUATION; GENERAL DECAY; ASYMPTOTIC-BEHAVIOR; ENERGY; STABILIZATION; STABILITY; CONVEXITY;
D O I：
10.1007/s10883-014-9256-1
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we consider the wave equation with both weak frictional damping and viscoelastic damping acting simultaneously and complementarily in the domain. We establish an explicit and general decay rate result, using some properties of the convex functions. Our result is obtained without imposing any restrictive growth assumption on the frictional damping term and strongly weakening the usual assumptions on the relaxation function.
引用
收藏
页码：101 / 116
页数：16
相关论文
共 50 条
  • [31] Optimal decay rates for the viscoelastic wave equation
    Mustafa, Muhammad I.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (01) : 192 - 204
  • [32] Time decay rates for the compressible viscoelastic flows
    Wu, Guochun
    Gao, Zhensheng
    Tan, Zhong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 452 (02) : 990 - 1004
  • [33] Decay control in dissipative quantum systems
    Kofman, AG
    Kurizki, G
    ACTA PHYSICA SLOVACA, 1999, 49 (04) : 541 - 548
  • [34] NON UNIFORM DECAY OF THE TOTAL ENERGY OF THE DISSIPATIVE WAVE EQUATION
    Nishiyama, Hisashi
    OSAKA JOURNAL OF MATHEMATICS, 2009, 46 (02) : 461 - 477
  • [35] Uniform decay for wave equations with weakly dissipative boundary feedback
    Mustafa, Muhammad I.
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2015, 30 (02): : 241 - 250
  • [36] Rates of Decay for Porous Elastic System Weakly Dissipative
    Santos, M. L.
    Campelo, A. D. S.
    Almeida Junior, D. S.
    ACTA APPLICANDAE MATHEMATICAE, 2017, 151 (01) : 1 - 26
  • [37] Rates of Decay for Porous Elastic System Weakly Dissipative
    M. L. Santos
    A. D. S. Campelo
    D. S. Almeida Júnior
    Acta Applicandae Mathematicae, 2017, 151 : 1 - 26
  • [38] Uniform decay rates of the solutions of a nonlinear lattice
    Menzala, GP
    Konotop, VV
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (02) : 261 - 278
  • [39] Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory
    Khaleel Anaya
    Salim A. Messaoudi
    Kassem Mustapha
    Arabian Journal of Mathematics, 2021, 10 : 31 - 39
  • [40] Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory
    Anaya, Khaleel
    Messaoudi, Salim A.
    Mustapha, Kassem
    ARABIAN JOURNAL OF MATHEMATICS, 2021, 10 (01) : 31 - 39
12345