Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory

Khaleel Anaya; Salim A. Messaoudi; Kassem Mustapha

doi:10.1007/s40065-020-00295-w

Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory

Khaleel Anaya^*
, Salim A. Messaoudi
, Kassem Mustapha

^*Corresponding author for this work

Department of Mathematics

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

2 Scopus citations

Abstract

In this paper, a weakly dissipative viscoelastic plate equation with an infinite memory is considered. We show a general energy decay rate for a wide class of relaxation functions. To support our theoretical findings, some numerical illustrations are presented at the end. The numerical solution is computed using the popular finite element method in space, combined with time-stepping finite differences.

Original language	English
Pages (from-to)	31-39
Number of pages	9
Journal	Arabian Journal of Mathematics
Volume	10
Issue number	1
DOIs	https://doi.org/10.1007/s40065-020-00295-w
State	Published - Apr 2021

Bibliographical note

Publisher Copyright:
© 2020, The Author(s).

Keywords

35B40
35L90
45K05
65M06
65M60

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s40065-020-00295-w

Cite this

@article{5693ba67244047029b026908b3c5a1e8,

title = "Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory",

abstract = "In this paper, a weakly dissipative viscoelastic plate equation with an infinite memory is considered. We show a general energy decay rate for a wide class of relaxation functions. To support our theoretical findings, some numerical illustrations are presented at the end. The numerical solution is computed using the popular finite element method in space, combined with time-stepping finite differences.",

keywords = "35B40, 35L90, 45K05, 65M06, 65M60",

author = "Khaleel Anaya and Messaoudi, \{Salim A.\} and Kassem Mustapha",

note = "Publisher Copyright: {\textcopyright} 2020, The Author(s).",

year = "2021",

month = apr,

doi = "10.1007/s40065-020-00295-w",

language = "English",

volume = "10",

pages = "31--39",

journal = "Arabian Journal of Mathematics",

issn = "2193-5343",

publisher = "Springer Heidelberg",

number = "1",

}

TY - JOUR

T1 - Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory

AU - Anaya, Khaleel

AU - Messaoudi, Salim A.

AU - Mustapha, Kassem

PY - 2021/4

Y1 - 2021/4

N2 - In this paper, a weakly dissipative viscoelastic plate equation with an infinite memory is considered. We show a general energy decay rate for a wide class of relaxation functions. To support our theoretical findings, some numerical illustrations are presented at the end. The numerical solution is computed using the popular finite element method in space, combined with time-stepping finite differences.

AB - In this paper, a weakly dissipative viscoelastic plate equation with an infinite memory is considered. We show a general energy decay rate for a wide class of relaxation functions. To support our theoretical findings, some numerical illustrations are presented at the end. The numerical solution is computed using the popular finite element method in space, combined with time-stepping finite differences.

KW - 35B40

KW - 35L90

KW - 45K05

KW - 65M06

KW - 65M60

UR - https://www.scopus.com/pages/publications/85091454785

U2 - 10.1007/s40065-020-00295-w

DO - 10.1007/s40065-020-00295-w

M3 - Article

AN - SCOPUS:85091454785

SN - 2193-5343

VL - 10

SP - 31

EP - 39

JO - Arabian Journal of Mathematics

JF - Arabian Journal of Mathematics

IS - 1

ER -

Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this