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math.AP2020
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…
math.AP2020
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(\…
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…