41 citations · 69 across the 12 of their papers we have counts for
3 papers · 1 filter
Nonlinear damped partial differential equations and their uniform discretizations
Fatiha Alabau-Boussouira, Yannick Privat, Emmanuel Trélat
We establish sharp energy decay rates for a large class of nonlinearly first-order damped systems, and we design discretization schemes that inherit of the same energy decay rates,…
Control and stabilization of degenerate wave equations
Fatiha Alabau-Boussouira, Piermarco Cannarsa, Günter Leugering
We study a wave equation in one space dimension with a general diffusion coefficient which degenerates on part of the boundary. Degeneracy is measured by a real parameter .…
A one-step optimal energy decay formula for indirectly nonlinearly damped hyperbolic systems coupled by velocities
Fatiha Alabau-Boussouira, Zhiqiang Wang, Lixin Yu
In this paper, we consider the energy decay of a damped hyperbolic system of wave-wave type which is coupled through the velocities. We are interested in the asymptotic properties…