arXiv subjects

Radhia Ayechi

Publications and source records attributed to Radhia Ayechi.

2 recordsLinked to original sources

arXiv2024

Indirect stabilization of semilinear coupled wave systems

In this paper, we study the indirect stabilization problem for a system of two coupled semilinear wave equations with internal damping in a bounded domain in $\mathbb{R}^3$. The nonlinearity is assumed to be subcritical, defocusing and analytic. Under geometric control condition on both coupling and damping regions, we establish the exponential energy decay rate.

math.AP↗

arXiv2021

Energy decay for a system of Schr{ö}dinger equations in a wave guide

We prove exponential decay for a system of two Schr{ö}dinger equations in a wave guide, with coupling and damping at the boundary. This relies on the spectral analysis of the corresponding coupled Schr{ö}dinger operator on the one-dimensional cross section. We show in particular that we have a spectral gap and that the corresponding generalized eigenfunctions form a Riesz basis.

math.AP↗