Stability of piezoelectric beam with magnetic effect under (Coleman or Pipkin)–Gurtin thermal law

作者：Mohammad Akil · 发表于：Zeitschrift für Angewandte Mathematik und Physik · 年份：2022 · DOI：10.1007/s00033-022-01867-w · 被引用次数：45 · 研究领域：Mathematics

In this paper, we investigate the stabilization of a system of piezoelectric beams under (Coleman or Pipkin)–Gurtin thermal law with magnetic effect. First, we study the piezoelectric Coleman–Gurtin system and we obtain an exponential stability result. Next, we consider the piezoelectric Gurtin–Pipkin system and we establish a polynomial energy decay rate of type t-1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$t^{-1}$$\end{document}.