Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law

2024/04/04 by Issa, Ibtissam, Soufyane, Abdelaziz, Villagran, Octavio Vera
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2404.07997

Abstract

In this paper, we examine the stability of a heat-conducting copper rod and a magnetizable piezoelectric beam, with fractional damping affecting the longitudinal displacement of the piezoelectric material's centerline. We establish a polynomial stability result that is dependent on the order of the fractional derivative.

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