arXiv subjects

Salim Messaoudi

Publications and source records attributed to Salim Messaoudi.

2 recordsLinked to original sources

arXiv2026

On the wave equation with logarithmic damping: wellposedness, blow-up and numerical analysis

In this work, we are concern with the wave equation subjected to a nonlinear feedback of logarithmic type and nonlinear polynomial source. To achieve a comprehensive understanding of this novel damping mechanism, we start with studying the well-posedness and the uniqueness of the problem. Then we establish the blow-up result of the problem under suitable initial data with negative initial energy and critical exponent of the source term. Finally, we present a brief numerical study and examples that support our result.

math.AP↗

arXiv2021

Theoretical and numerical study of the decay in a viscoelastic Bresse System

In this paper, we consider a one-dimensional finite-memory Bresse system with homogeneous Dirichlet-Neumann-Neumann boundary conditions. We prove some general decay results for the energy associated with the system in the case of equal and non-equal speeds of wave propagation under appropriate conditions on the relaxation function. In addition, we show by giving an example that in the case of equal speeds of wave propagation and for certain polynomially decaying relaxation functions, our result gives an optimal decay rate in the sense that the decay rate of the system is exactly the same as that of the relaxation function considered.

math.AP↗