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

页码：101 / 116

页数：16

共 50 条

[21] Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary Dissipation
Wu, Shun-Tang
Chen, Hsueh-Fang
JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2012,
[22] General Decay Rates for a Viscoelastic Wave Equation with Dynamic Boundary Conditions and Past History
Feng, Baowei
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (03)
[23] A general decay criterion for a viscoelastic equation with nonlinear distributed delay and damping effects
Feng, Baowei
Park, Sun-Hye
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (17) : 17910 - 17926
[24] Uniform decay of solutions for a quasilinear system of viscoelastic equations
Liu, Wenjun
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 2257 - 2267
[25] UNIFORM DECAY OF SOLUTIONS TO CAUCHY VISCOELASTIC PROBLEMS WITH DENSITY
Kafini, Mohammad
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[26] Uniform Decay for Solutions of an Axially Moving Viscoelastic Beam
Kelleche, Abdelkarim
Tatar, Nasser-eddine
APPLIED MATHEMATICS AND OPTIMIZATION, 2017, 75 (03): : 343 - 364
[27] General decay rates of the solution energy in a viscoelastic wave equation with boundary feedback and a nonlinear source
Baaziz, Islem
Benabderrahmane, Benyattou
Drabla, Salah
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2024, 69 (02): : 383 - 397
[28] General Decay of Solutions of a Nonlinear System of Viscoelastic Equations
Liu, Wenjun
ACTA APPLICANDAE MATHEMATICAE, 2010, 110 (01) : 153 - 165
[29] Energy decay rates for von Karman system with memory and boundary feedback
Kang, Jum-Ran
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (18) : 9085 - 9094
[30] GENERAL DECAY RATE OF A WEAKLY DISSIPATIVE VISCOELASTIC EQUATION WITH A GENERAL DAMPING
Anaya, Khaleel
Messaoudi, Salim A.
OPUSCULA MATHEMATICA, 2020, 40 (06) : 647 - 666

← 1 2 3 4 5 →