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Stabilization for the transmission problem of the Timoshenko system in thermoelasticity with two concentrated masses
Author(s) -
Youssef Wael
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6166
Subject(s) - thermoelastic damping , timoshenko beam theory , mathematics , stability (learning theory) , transmission (telecommunications) , beam (structure) , domain (mathematical analysis) , mathematical analysis , polynomial , structural engineering , physics , thermal , telecommunications , computer science , thermodynamics , machine learning , engineering
In this paper, our main goal is to study the stability of the thermoelastic Timoshenko beam with locally distributed temperature. Then, we consider the transmission problem of the Timoshenko system in thermoelasticity with two concentrated masses. We show the nonexponential stability by using a result introduced by Muñoz Rivera and Racke based on the Weyl theorem. Otherwise, we prove a polynomial stability as t - 1 / 80by using a frequency domain method.