Global existence and decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity

Nazlı Irkıl; Erhan Pişkin; Praveen Agarwal

doi:10.1002/mma.7964

Global existence and decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity

Nazlı Irkıl
, Erhan Pişkin
, Praveen Agarwal

Nonlinear Dynamic Research Centre (NDRC)

Dicle University
International College of Engineering
International Center for Basic and Applied Sciences

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

20 Scopus citations

Abstract

This work deals with a system of Kirchhoff-type equations with viscoelastic term and logarithmic nonlinearity. First, we proved the global existence by combining the potential well method with Faedo–Galerkin's procedure. Later, we established decay rate estimates by using multiplier method.

Original language	English
Pages (from-to)	2921-2948
Number of pages	28
Journal	Mathematical Methods in the Applied Sciences
Volume	45
Issue number	5
DOIs	https://doi.org/10.1002/mma.7964
State	Published - 30 Mar 2022

Keywords

decay
global existence
logarithmic nonlinearity
viscoelastic Kirchhoff equation

Access to Document

10.1002/mma.7964

Cite this

@article{75f01eb1bc72436c98fe9257c9e5c42e,

title = "Global existence and decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity",

abstract = "This work deals with a system of Kirchhoff-type equations with viscoelastic term and logarithmic nonlinearity. First, we proved the global existence by combining the potential well method with Faedo–Galerkin's procedure. Later, we established decay rate estimates by using multiplier method.",

keywords = "decay, global existence, logarithmic nonlinearity, viscoelastic Kirchhoff equation",

author = "Nazlı Irkıl and Erhan Pi{\c s}kin and Praveen Agarwal",

note = "Publisher Copyright: {\textcopyright} 2021 John Wiley \& Sons, Ltd.",

year = "2022",

month = mar,

day = "30",

doi = "10.1002/mma.7964",

language = "English",

volume = "45",

pages = "2921--2948",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "John Wiley and Sons Ltd",

number = "5",

}

TY - JOUR

T1 - Global existence and decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity

AU - Irkıl, Nazlı

AU - Pişkin, Erhan

AU - Agarwal, Praveen

PY - 2022/3/30

Y1 - 2022/3/30

N2 - This work deals with a system of Kirchhoff-type equations with viscoelastic term and logarithmic nonlinearity. First, we proved the global existence by combining the potential well method with Faedo–Galerkin's procedure. Later, we established decay rate estimates by using multiplier method.

AB - This work deals with a system of Kirchhoff-type equations with viscoelastic term and logarithmic nonlinearity. First, we proved the global existence by combining the potential well method with Faedo–Galerkin's procedure. Later, we established decay rate estimates by using multiplier method.

KW - decay

KW - global existence

KW - logarithmic nonlinearity

KW - viscoelastic Kirchhoff equation

UR - https://www.scopus.com/pages/publications/85121699372

U2 - 10.1002/mma.7964

DO - 10.1002/mma.7964

M3 - Article

AN - SCOPUS:85121699372

SN - 0170-4214

VL - 45

SP - 2921

EP - 2948

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 5

ER -

Global existence and decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this