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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Institute of Mathematics of the Czech Academy of Science
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Online Access: | http://mb.math.cas.cz/full/145/2/mb145_2_7.pdf |
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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 |