Uniform decay in a wave equation and Numerical simulations

Authors

  • ARIES MOHAMMED ES-SALIH

Keywords:

Wave equation, Viscoelasticity, Memory term, Stabilization, Frictional damping

Abstract

This research paper focuses on investigating the phenomenon of uniform decay in a wave equation. The study encompasses scenarios involving dynamic boundary conditions, localized memory terms, and fractional dampings. The main objective is to establish that the presence of a localized memory term, in conjunction with frictional dampings, holds significant strength. This combined effect, operating through a transmission process (u on the boundary Γ equals v), is demonstrated to ensure the asymptotic stability of the entire system.

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Published

2024-02-25

How to Cite

ARIES MOHAMMED ES-SALIH. (2024). Uniform decay in a wave equation and Numerical simulations. Utilitas Mathematica, 120, 1298–1310. Retrieved from https://utilitasmathematica.com/index.php/Index/article/view/1884

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