EXISTENCE AND GENERAL DECAY OF BALAKRISHNAN-TAYLOR VISCOELASTIC EQUATION WITH NONLINEAR FRICTIONAL DAMPING AND LOGARITHMIC SOURCE TERM

Mohammad Al-Gharabli; Mohamed Balegh; Baowei Feng; Zayd Hajjej; Salim A. Messaoudi

doi:10.3934/eect.2021038

EXISTENCE AND GENERAL DECAY OF BALAKRISHNAN-TAYLOR VISCOELASTIC EQUATION WITH NONLINEAR FRICTIONAL DAMPING AND LOGARITHMIC SOURCE TERM

Mohammad Al-Gharabli, Mohamed Balegh, Baowei Feng, Zayd Hajjej, Salim A. Messaoudi

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In this paper, we consider a Balakrishnan-Taylor viscoelastic wave equation with nonlinear frictional damping and logarithmic source term. By assuming a more general type of relaxation functions, we establish explicit and general decay rate results, using the multiplier method and some properties of the convex functions. This result is new and generalizes earlier results in the literature.

Original language	English
Pages (from-to)	1149-1173
Number of pages	25
Journal	Evolution Equations and Control Theory
Volume	11
Issue number	4
DOIs	https://doi.org/10.3934/eect.2021038
State	Published - Aug 2022

Bibliographical note

Publisher Copyright:
© 2022, American Institute of Mathematical Sciences. All rights reserved.

Keywords

Balakrishnan-Taylor damping
Wave equation
convexity
general decay
viscoelastic damping

ASJC Scopus subject areas

Modeling and Simulation
Control and Optimization
Applied Mathematics

Access to Document

10.3934/eect.2021038

Cite this

@article{ce72e8d951644ed5a3778b6d11d16823,

title = "EXISTENCE AND GENERAL DECAY OF BALAKRISHNAN-TAYLOR VISCOELASTIC EQUATION WITH NONLINEAR FRICTIONAL DAMPING AND LOGARITHMIC SOURCE TERM",

abstract = "In this paper, we consider a Balakrishnan-Taylor viscoelastic wave equation with nonlinear frictional damping and logarithmic source term. By assuming a more general type of relaxation functions, we establish explicit and general decay rate results, using the multiplier method and some properties of the convex functions. This result is new and generalizes earlier results in the literature.",

keywords = "Balakrishnan-Taylor damping, Wave equation, convexity, general decay, viscoelastic damping",

author = "Mohammad Al-Gharabli and Mohamed Balegh and Baowei Feng and Zayd Hajjej and Messaoudi, \{Salim A.\}",

year = "2022",

month = aug,

doi = "10.3934/eect.2021038",

language = "English",

volume = "11",

pages = "1149--1173",

journal = "Evolution Equations and Control Theory",

issn = "2163-2472",

publisher = "American Institute of Mathematical Sciences",

number = "4",

}

TY - JOUR

T1 - EXISTENCE AND GENERAL DECAY OF BALAKRISHNAN-TAYLOR VISCOELASTIC EQUATION WITH NONLINEAR FRICTIONAL DAMPING AND LOGARITHMIC SOURCE TERM

AU - Al-Gharabli, Mohammad

AU - Balegh, Mohamed

AU - Feng, Baowei

AU - Hajjej, Zayd

AU - Messaoudi, Salim A.

PY - 2022/8

Y1 - 2022/8

N2 - In this paper, we consider a Balakrishnan-Taylor viscoelastic wave equation with nonlinear frictional damping and logarithmic source term. By assuming a more general type of relaxation functions, we establish explicit and general decay rate results, using the multiplier method and some properties of the convex functions. This result is new and generalizes earlier results in the literature.

AB - In this paper, we consider a Balakrishnan-Taylor viscoelastic wave equation with nonlinear frictional damping and logarithmic source term. By assuming a more general type of relaxation functions, we establish explicit and general decay rate results, using the multiplier method and some properties of the convex functions. This result is new and generalizes earlier results in the literature.

KW - Balakrishnan-Taylor damping

KW - Wave equation

KW - convexity

KW - general decay

KW - viscoelastic damping

UR - https://www.scopus.com/pages/publications/85134082962

U2 - 10.3934/eect.2021038

DO - 10.3934/eect.2021038

M3 - Article

AN - SCOPUS:85134082962

SN - 2163-2472

VL - 11

SP - 1149

EP - 1173

JO - Evolution Equations and Control Theory

JF - Evolution Equations and Control Theory

IS - 4

ER -

EXISTENCE AND GENERAL DECAY OF BALAKRISHNAN-TAYLOR VISCOELASTIC EQUATION WITH NONLINEAR FRICTIONAL DAMPING AND LOGARITHMIC SOURCE TERM

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this