3 papers
math.AP2020
Well-posedness and Stabiliy result of Petrovsky equation with a nonlinear strong damping and delay term
Ahmed Chahtou, Mama Abdelli, Akram Ben Aissa
In this paper we consider a nonlinear Petrovsky equation in a bounded domain with a delay term and a strong dissipation \begin{align*} u_{tt} + Δ^{2} u -μ_1g_1( Δ( u_t(x,t))) -μ_2g…
math.AP2020
Well-posedness and exponential decay for the Euler-Bernoulli beam conveying fluid equation with non-constant velocity and dynamical boundary conditions
Akram Ben Aissa, Mama Abdelli, Alessandro Duca
In this paper, we consider an Euler-Bernoulli beam equation with time-varying internal fluid. We assume that the fluid is moving with non-constant velocity and dynamical boundary c…
math.DS2018
The universal bound property for a class of second order ODEs
Mama Abdelli, Alain Haraux
We consider the scalar second order ODE u + |u | u + |u| u = 0, where , are two positive numbers and the non-linear semi-group S(t) generated on IR 2 by the system i…