Zeitschrift für angewandte Mathematik und Physik, Volume (74), No (5), Year (2023-9)

Title : ( Global existence and general decay for a weak viscoelastic equation with acoustic boundary conditions and a logarithmic source term )

Authors: Faramarz Tahamtani , Mohammad Shahrouzi , Jorge Ferreira ,
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Abstract

In this paper, we consider a weak viscoelastic equation with acoustic boundary conditions and logarithmic nonlinearity in the presence of frictional damping. We prove, for a suitably chosen initial data, a global existence as well as a general decay result. Our work improves and extends earlier results by Liu (Z Angew Math Phys, 2014, https://doi.org/10.1007/s00033-013-0328-y).

Keywords

, Global existence, General decay, Weak-viscoelastic, Acoustic boundary conditions