Numerical stabilization for a mixture system with kind damping
Abstract
In this paper, we conduct a numerical analysis of the strong stabilization and polynomial decay of solutions for the initial boundary value problem associated with a system that models the dynamics of a mixture of two rigid solids with porosity. This mathematical model accounts for the complex interactions between the rigid components and their porous structure, providing valuable information on the mechanical behavior of such systems. Our primary objective is to establish conditions under which stabilization is ensured and to rigorously quantify the rate of decay of the solutions. Using numerical simulations, we assess the effectiveness of different stabilization mechanisms and analyze the influence of key system parameters on the overall dynamics.
Cite
@article{arxiv.2505.04739,
title = {Numerical stabilization for a mixture system with kind damping},
author = {Kais Ammari and Vilmos Komornik and Mauricio Sepúlveda and Octavio Vera},
journal= {arXiv preprint arXiv:2505.04739},
year = {2026}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2505.03043