Numerical stabilization for a mixture system with kind damping
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866911532430917632 |
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| author | Ammari, Kais Komornik, Vilmos Sepúlveda, Mauricio Vera, Octavio |
| author_facet | Ammari, Kais Komornik, Vilmos Sepúlveda, Mauricio Vera, Octavio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04739 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Numerical stabilization for a mixture system with kind damping Ammari, Kais Komornik, Vilmos Sepúlveda, Mauricio Vera, Octavio Numerical Analysis Analysis of PDEs Optimization and Control 35Q40, 93D15, 47D03, 74D05 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. |
| title | Numerical stabilization for a mixture system with kind damping |
| topic | Numerical Analysis Analysis of PDEs Optimization and Control 35Q40, 93D15, 47D03, 74D05 |
| url | https://arxiv.org/abs/2505.04739 |