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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…