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Energy decay result in a Timoshenko‐type system of thermoelasticity of type III with weak damping
Author(s) -
Ghennam Karima,
Djebabla Abdelhak
Publication year - 2018
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.4873
Subject(s) - thermoelastic damping , mathematics , type (biology) , exponential decay , thermal conduction , mathematical analysis , exponential stability , polynomial , second sound , energy (signal processing) , physics , thermodynamics , thermal , quantum mechanics , acoustics , ecology , nonlinear system , biology , statistics , sound (geography)
We investigate in this paper a thermoelastic system where the oscillations are defined by the Timoshenko model and the heat conduction is given by Green and Naghdi theories. We introduce 2 new stability numbers κ 1 , κ 2 , and we prove a general decay result, from which the exponential and polynomial decays are only special cases.