5 papers
Stabilization of a locally transmission problems of two strongly-weakly coupled wave systems
Wafa Ahmedi, Akram Ben Aissa
In this paper, we embark on a captivating exploration of the stabilization of locally transmitted problems within the realm of two interconnected wave systems. To begin, we wield t…
Uniform Stabilization of the Petrovsky-Wave Nonlinear coupled system with strong damping
Akram Ben Aissa
This paper concerns the well-posedness and uniform stabilization of the Petrovsky-Wave Nonlinear coupled system with strong damping. Existence of global weak solutions for this pro…
Well-posedness and direct internal stability of coupled non-degenrate Kirchhoff system via heat conduction
Akram Ben Aissa
In the paper under study, we consider the following coupled non-degenerate Kirchhoff system \begin{equation}\label{P} \left \{ \begin{aligned} &\displaystyle y_{tt}-\upvarphi\Big(\…
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…
A frequency approach for stabilization of one-dimensional degenerate wave equation
Akram Ben Aissa, Mohamed Ferhat, Ali Segher Kadai
In this paper, we are concerned with the study of stabilization problem for the following strongly degenerate wave equation in one space dimension $$w_{tt}(x,t)-\left(x^αw_x(x,t)\r…