Optimal Decay Result for Wave Equations with Frictional Versus Viscoelastic Damping

In this paper, we consider a wave equation with frictional damping and viscoelastic damping acting simultaneously and complementarily in the domain, and study the effect of such competition between the two types of damping on the asymptotic behavior of the energy function. Under nonrestrictive assum...

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Bibliographic Details
Published inDifferential equations and dynamical systems Vol. 32; no. 4; pp. 1029 - 1046
Main Author Mustafa, Muhammad I.
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.10.2024
Springer Nature B.V
Subjects
Asymptotic properties
Computer Science
Decay rate
Engineering
Mathematics
Mathematics and Statistics
Optimization
Original Research
Viscoelastic damping
Wave equations
93D20
93D15
Frictional damping
74D99
35B40
Energy decay rates
Viscoelastic damping
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ISSN0971-3514
0974-6870
DOI10.1007/s12591-022-00611-0

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Summary:In this paper, we consider a wave equation with frictional damping and viscoelastic damping acting simultaneously and complementarily in the domain, and study the effect of such competition between the two types of damping on the asymptotic behavior of the energy function. Under nonrestrictive assumptions, we combine both the generality and optimality in one explicit formula for the decay rates of this system.
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ISSN:0971-3514
0974-6870
DOI:10.1007/s12591-022-00611-0