Open AccessGeneral decay rate of a weakly dissipative viscoelastic equation with a general damping
Author(s) -
Khaleel Anaya,
Salim A. Messaoudi
Publication year - 2020
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2020.40.6.647
Subject(s) - dissipative system , viscoelasticity , relaxation (psychology) , physics , nonlinear system , classical mechanics , mathematical analysis , class (philosophy) , mathematics , thermodynamics , quantum mechanics , computer science , psychology , social psychology , artificial intelligence
In this paper, we consider a weakly dissipative viscoelastic equation with a nonlinear damping. A general decay rate is proved for a wide class of relaxation functions. To support our theoretical findings, some numerical results are provided.
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