Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation

Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation

We study the existence of global in time and uniform decay of weak solutions to the initial-boundary value problem related to the dynamic behavior of evolution equation accounting for rotational inertial forces along with a linear nonlocal frictional damping arises in viscoelastic materials. By cons...

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Main Author: Mohamed Berbiche
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2020-07-01
Series:Mathematica Bohemica
Subjects:
global existence
uniqueness
uniform stabilization
Online Access:http://mb.math.cas.cz/full/145/2/mb145_2_7.pdf
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spelling doaj-58c28cc2ec02470f858d24137e6af52d2020-11-25T02:50:43ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362020-07-01145220522310.21136/MB.2019.0054-18MB.2019.0054-18Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equationMohamed BerbicheWe study the existence of global in time and uniform decay of weak solutions to the initial-boundary value problem related to the dynamic behavior of evolution equation accounting for rotational inertial forces along with a linear nonlocal frictional damping arises in viscoelastic materials. By constructing appropriate Lyapunov functional, we show the solution converges to the equilibrium state polynomially in the energy space.http://mb.math.cas.cz/full/145/2/mb145_2_7.pdf global existence uniqueness uniform stabilization
collection DOAJ
language English
format Article
sources DOAJ
author Mohamed Berbiche
spellingShingle Mohamed Berbiche
Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation
Mathematica Bohemica
global existence
uniqueness
uniform stabilization
author_facet Mohamed Berbiche
author_sort Mohamed Berbiche
title Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation
title_short Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation
title_full Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation
title_fullStr Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation
title_full_unstemmed Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation
title_sort asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation
publisher Institute of Mathematics of the Czech Academy of Science
series Mathematica Bohemica
issn 0862-7959
2464-7136
publishDate 2020-07-01
description We study the existence of global in time and uniform decay of weak solutions to the initial-boundary value problem related to the dynamic behavior of evolution equation accounting for rotational inertial forces along with a linear nonlocal frictional damping arises in viscoelastic materials. By constructing appropriate Lyapunov functional, we show the solution converges to the equilibrium state polynomially in the energy space.
topic global existence
uniqueness
uniform stabilization
url http://mb.math.cas.cz/full/145/2/mb145_2_7.pdf
work_keys_str_mv AT mohamedberbiche asymptoticbehaviorofsolutionsforlinearevolutionaryboundaryvalueproblemofviscoelasticdampedwaveequation
_version_ 1724736752290103296

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