1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.AP2024★ 1 cited
asymptotic stability of 1D damped wave equation with nonlinear distributed damping
Yacine Chitour, Meryem Kafnemer, Patrick Martinez +1
In this paper, we study the one-dimensional wave equation with localized nonlinear damping and Dirichlet boundary conditions, in the framework, with . We sta…
math.AP2021
Lp-asymptotic stability of 1D damped wave equations with localized and linear damping
Meryem Kafnemer, Mebkhout Benmiloud, Frédéric Jean +1
In this paper, we study the -asymptotic stability of the one-dimensional linear damped wave equation with Dirichlet boundary conditions in , with . The…
math.OC2020
Weak Input to state estimates for 2D damped wave equations with localized and non-linear damping
Meryem Kafnemer, Benmiloud Mebkhout, Yacine Chitour
In this paper, we study input-to-state (ISS) issues for damped wave equations with Dirichlet boundary conditions on a bounded domain of dimension two. The damping term is assumed t…