Title : ( Growth and blow-up of viscoelastic wave equation solutions with logarithmic source, acoustic and fractional conditions, and nonlinear boundary delay )
Authors: Abdelbaki Choucha , Mohamed Haiour , Rashid Jan , Mohammad Shahrouzi , Praveen Agarwal , Mohamed Abdalla ,
Full TextAbstract
This study focuses on a nonlinear viscoelastic wave equation involving logarithmic nonlinearity. It considers a nonlinear distributed delay influencing the boundary feedback, which is coupled with acoustic and fractional boundary conditions. Following the proof of global existence, we demonstrate the exponential growth and blow-up of solutions with positive initial energy under appropriate assumptions and for a general case of the kernel. This finding broadens and enhances earlier results.
Keywords
, Fractional damping, exponential growth, blow up, viscoelasticity, distributed delay, logarithmic nonlinearity
@article{paperid:1101691,
author = {چوچا عبدلباکی and محمد هایور and رشید جان and Shahrouzi, Mohammad and پراوین آگاروال and محمد عبدالله},
title = {Growth and blow-up of viscoelastic wave equation solutions with logarithmic source, acoustic and fractional conditions, and nonlinear boundary delay},
journal = {Discrete and Continuous Dynamical Systems - Series S},
year = {2025},
month = {January},
issn = {1937-1632},
keywords = {Fractional damping; exponential growth; blow up; viscoelasticity; distributed delay; logarithmic nonlinearity},
}
%0 Journal Article
%T Growth and blow-up of viscoelastic wave equation solutions with logarithmic source, acoustic and fractional conditions, and nonlinear boundary delay
%A چوچا عبدلباکی
%A محمد هایور
%A رشید جان
%A Shahrouzi, Mohammad
%A پراوین آگاروال
%A محمد عبدالله
%J Discrete and Continuous Dynamical Systems - Series S
%@ 1937-1632
%D 2025
