Open AccessAsymptotic behavior of solutions for linear evolutionary boundary value problem of viscoelastic damped wave equation
Author(s) -
Mohamed Berbiche
Publication year - 2019
Publication title -
mathematica bohemica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 11
eISSN - 2464-7136
pISSN - 0862-7959
DOI - 10.21136/mb.2019.0054-18
Subject(s) - viscoelasticity , inertial frame of reference , boundary value problem , mathematical analysis , mathematics , lyapunov function , classical mechanics , boundary (topology) , space (punctuation) , physics , nonlinear system , computer science , thermodynamics , quantum mechanics , operating system
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.
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