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Well posedness and stability result for a thermoelastic laminated Timoshenko beam with distributed delay term
Author(s) -
Choucha Abdelbaki,
Ouchenane Djamel,
Boulaaras Salah
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.6673
Subject(s) - thermoelastic damping , timoshenko beam theory , mathematics , exponential stability , term (time) , work (physics) , beam (structure) , thermal conduction , stability (learning theory) , heat equation , polynomial , mathematical analysis , exponential decay , physics , thermal , nonlinear system , computer science , quantum mechanics , thermodynamics , machine learning , optics
In this work, we consider a linear thermoelastic laminated timoshenko beam with distributed delay, where the heat conduction is given by cattaneoâs law. we establish the well posedness of the system. For stability results, we prove exponential and polynomial stabilities of the system for the cases of equal and nonequal speeds of wave propagation.