Blow-up results for viscoelastic damped wave models with friction and nonlinear memory

O Alimerina, TH Kaddour… - Discontinuity …, 2024 - lhscientificpublishing.com
This paper is devoted to the study of Cauchy problem for viscoelastic damped wave models
with nonlinear memory on the right-hand side. The main goal is to prove blow-up results for …

[HTML][HTML] Weakly coupled system of semilinear structural σ-evolution models with δ-visco-elastic damping

AM Djaouti, AMAB Awad - Results in Applied Mathematics, 2024 - Elsevier
This paper focuses on the study of global existence (in time) of solutions to a weakly coupled
system of Cauchy problem for semilinear σ k-evolution models with δ k-visco-elastic …

Nonlinear Memory Term for Fractional Diffusion Equation

A Ayad, A Mohammed Djaouti… - Journal of Nonlinear …, 2024 - Springer
This paper examines the Cauchy problem described by the following equation:∂ t λ+ 1 ϕ-Δ
ϕ=∫ 0 t (ts)-γ ϕ (s,.) pds, ϕ (0, x)= ϕ 0 (x), ϕ t (0, x)= ϕ 1 (x).(1) The equation involves the …

[PDF][PDF] Nonexistence of global weak solutions of nonlinear wave equation with friction and viscoelastic damping

O Alimerina, TH Kaddour - General Conference Chair: Dr. Djamila … - researchgate.net
In this work, we prove the non-existence of global solutions to damped wave equation with
viscoelastic damping and nonlinear memory term for any space dimension n≥ 1. Our main …