On the Control of Solutions of a Viscoelastic Plate Problem with a Frictional Damping Term

2025/06/17 by Bilel Madjour, Madjour, Bilel, Amel Boudiaf +1
Computer Science · Engineering · #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #Elasticity and Wave Propagation #FOS: Mathematics #FOS: Physical sciences #Geotechnical and Geomechanical Engineering #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2506.14908

openalex publication_date 2025/06/17 · openalex created_date 2025/10/19 · openalex updated_date 2026/07/28

Abstract

In this article, we study the stability of solutions to a nonlinear viscoelastic plate problem with frictional damping of a memory on a part of the boundary, and a logarithmic source in a bounded domain Ω⊂ ℝ². In this problem the relaxation function r satisfies r^′( t)≤ -h( t) G( r( t) ) for all t≥ 0, where h is a nonincreasing positive function. This work extends previous works with viscoelastic plate problems and improves earlier results in the

Related

• Global existence and decay estimates for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity
• Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity
• Exponential stability for an infinite memory wave equation with frictional damping and logarithmic nonlinear terms
• Stabilization of weakly coupled viscoelastic Kirchhoff plate and wave equations
• Large time behaivor of global solutions to nonlinear wave equations with frictional and viscoelastic damping terms