14 citations · 29 across the 5 of their papers we have counts for
4 papers · 1 filter
Boundary stabilization of a vibrating string with variable length
Seyf Eddine Ghenimi, Abdelmouhcene Sengouga
We study small vibrations of a string with time-dependent length and boundary damping. The vibrations are described by a 1-d wave equation in an interval with one moving…
Energy decay estimates for an axially travelling string damped at one end
Seyf Eddine Ghenimi, Abdelmouhcene Sengouga
We study the small vibrations of an axially travelling string with a dashpoint damping at one end. The string is modelled by a wave equation in a time-dependent interval with two e…
Free vibrations of axially moving strings: Energy estimates and boundary observability
Seyf Eddine Ghenimi, Abdelmouhcene Sengouga
We study the small vibrations of axially moving strings described by a wave equation in an interval with two endpoints moving in the same direction with a constant speed. The solut…
Exact Boundary Observability and Controllability of the Wave Equation in an Interval with two Moving Endpoints
Abdelmouhcene Sengouga
We study the wave equation in an interval with two linearly moving endpoints. We give the exact solution by a series formula, then we show that the energy of the solution decay at…