On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions

Tae Gab Ha

doi:10.3934/eect.2018014

On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions

Tae Gab Ha^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

11 Scopus citations

Abstract

In this paper, we consider the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions. This work is devoted to prove, under suitable conditions on the initial data, the global existence and uniform decay rate of the solutions when the relaxation function is not necessarily of exponential or polynomial type.

Original language	English
Pages (from-to)	281-291
Number of pages	11
Journal	Evolution Equations and Control Theory
Volume	7
Issue number	2
DOIs	https://doi.org/10.3934/eect.2018014
State	Published - 2018.06

Keywords

Acoustic boundary conditions
And phrases
Balakrishnan-Taylor damping
General decay rate
Global existence
Viscoelastic equation

Quacquarelli Symonds(QS) Subject Topics

Mathematics

Access to Document

10.3934/eect.2018014

Cite this

@article{301a2b382dbc4252a7c7c51b1fb0771e,

title = "On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions",

abstract = "In this paper, we consider the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions. This work is devoted to prove, under suitable conditions on the initial data, the global existence and uniform decay rate of the solutions when the relaxation function is not necessarily of exponential or polynomial type.",

keywords = "Acoustic boundary conditions, And phrases, Balakrishnan-Taylor damping, General decay rate, Global existence, Viscoelastic equation",

author = "Ha, \{Tae Gab\}",

year = "2018",

month = jun,

doi = "10.3934/eect.2018014",

language = "English",

volume = "7",

pages = "281--291",

journal = "Evolution Equations and Control Theory",

issn = "2163-2472",

number = "2",

}

TY - JOUR

T1 - On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions

AU - Ha, Tae Gab

PY - 2018/6

Y1 - 2018/6

N2 - In this paper, we consider the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions. This work is devoted to prove, under suitable conditions on the initial data, the global existence and uniform decay rate of the solutions when the relaxation function is not necessarily of exponential or polynomial type.

AB - In this paper, we consider the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions. This work is devoted to prove, under suitable conditions on the initial data, the global existence and uniform decay rate of the solutions when the relaxation function is not necessarily of exponential or polynomial type.

KW - Acoustic boundary conditions

KW - And phrases

KW - Balakrishnan-Taylor damping

KW - General decay rate

KW - Global existence

KW - Viscoelastic equation

UR - https://www.scopus.com/pages/publications/85054154477

U2 - 10.3934/eect.2018014

DO - 10.3934/eect.2018014

M3 - Journal article

AN - SCOPUS:85054154477

SN - 2163-2472

VL - 7

SP - 281

EP - 291

JO - Evolution Equations and Control Theory

JF - Evolution Equations and Control Theory

IS - 2

ER -

On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

Other files and links

Fingerprint

Cite this