30 citations · 30 across the 4 of their papers we have counts for
4 papers
Global existence and asymptotic behavior of the Westervelt--hyperbolic Pennes system
Imen Benabbas, Belkacem Said-Houari
In this work, we investigate the global existence and asymptotic behavior of a mathematical model of nonlinear ultrasonic heating based on a coupled system of the Westervelt equati…
Local well-posedness of a coupled Jordan-Moore-Gibson-Thompson-Pennes model of nonlinear ultrasonic heating
Imen Benabbas, Belkacem Said-Houari
In this work, we investigate a mathematical model of nonlinear ultrasonic heating based on the Jordan-Moore-Gibson-Thompson equation (JMGT) with temperature-dependent medium parame…
On the stability of the Bresse system with frictional damping
Tej-Eddine Ghoul, Moez Khenissi, Belkacem Said-Houari
In this paper, we consider the Bresse system with frictional damping terms and prove some optimal decay results for the -norm of the solution and its higher order derivatives.…
Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term
Stéphane Gerbi, Said-Houari Belkacem
In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions related to the Kelvin-Voigt damping and a delay term acting on the boundary. If the wei…