Indirect boundary stabilization for weakly coupled degenerate wave equations under fractional damping

2023/10/17 by Benzaid, Rachid, Benaissa, Abbes
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2310.11174

Abstract

In this paper, we consider the well-posedness and stability of a one-dimensional system of degenerate wave equations coupled via zero order terms with one boundary fractional damping acting on one end only. We prove optimal polynomial energy decay rate of order 1/t^(3-τ). The method is based on the frequency domain approach combined with multiplier technique.

Related

• The influence of the coefficients of a system of coupled wave equations with fractional damping on its stabilization
• Indirect stability of a multidimensional coupled wave equations with one locally boundary fractional damping
• Optimal indirect stability of a weakly damped elastic abstract system of second order equations coupled by velocities
• Hölder damping for fractional wave equations
• Energy Decay of some boundary coupled systems involving wave\backslash Euler-Bernoulli beam with one locally singular fractional Kelvin-Voigt damping