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

Mohamed Berbiche

Mathematica Bohemica (2020)

  • Volume: 145, Issue: 2, page 205-223
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Berbiche, Mohamed. "Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation." Mathematica Bohemica 145.2 (2020): 205-223. <http://eudml.org/doc/297042>.

@article{Berbiche2020,
abstract = {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.},
author = {Berbiche, Mohamed},
journal = {Mathematica Bohemica},
keywords = {global existence; uniqueness; uniform stabilization},
language = {eng},
number = {2},
pages = {205-223},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation},
url = {http://eudml.org/doc/297042},
volume = {145},
year = {2020},
}

TY - JOUR
AU - Berbiche, Mohamed
TI - Asymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation
JO - Mathematica Bohemica
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 145
IS - 2
SP - 205
EP - 223
AB - 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.
LA - eng
KW - global existence; uniqueness; uniform stabilization
UR - http://eudml.org/doc/297042
ER -

References

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