Well-posedness and general energy decay of solutions for a nonlinear damping piezoelectric beams system with thermal and magnetic effects

Year 2023, Volume: 52 Issue: 6 - Special Issue: Nonlinear Evolution Problems with Applications, 1615 - 1630, 03.11.2023

Hassan Messaoudi , Abdelouaheb Ardjouni , Salah Zıtounı , Khochemane Houssem Eddine

https://doi.org/10.15672/hujms.1187356

Cited By: 1

Abstract

In this article, we study the piezoelectric beams with thermal and magnetic effects in the presence of a nonlinear damping term acting on the mechanical equation. First, we prove that the system is well-posed in the sense of semigroup theory. And by constructing a suitable Liapunov functional, we show a general decay result of the solution for the system from which the polynomial and exponential decay are only special cases. Furthermore, our result does not depend on any relationship between system parameters.

Keywords

General decay, Liapunov functional, semigroup approach, nonlinear damping, piezoelectric beams.

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