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Stability of solution for a mixture of thermoelastic of type III
Author(s) -
Fatori Luci Harue,
Prado da Silva Rafael
Publication year - 2017
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.4298
Subject(s) - thermoelastic damping , uniqueness , exponential stability , mathematics , type (biology) , polynomial , exponential decay , exponential growth , work (physics) , exponential function , stability (learning theory) , mathematical analysis , thermodynamics , physics , thermal , computer science , ecology , nonlinear system , quantum mechanics , machine learning , biology , nuclear physics
In this work, we analyze the existence, uniqueness, and asymptotic behavior of solution to the model of a thermoelastic mixture of type III. We establish sufficient conditions to guarantee the exponential decay of solutions. When the decay is not of exponential type, we prove that the solutions decay polynomially and we find the optimal polynomial decay rate. Copyright © 2017 John Wiley & Sons, Ltd.