Well posedness and stability result for a thermoelastic laminated Timoshenko beam with distributed delay term
Abdelbaki Choucha, Djamel Ouchenane, Salah Boulaaras
Abstract
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.
Topics & Concepts
Thermoelastic dampingTimoshenko beam theoryMathematicsExponential stabilityTerm (time)Work (physics)Beam (structure)Thermal conductionStability (learning theory)Heat equationPolynomialMathematical analysisExponential decayPhysicsThermalNonlinear systemComputer scienceQuantum mechanicsThermodynamicsOpticsMachine learningAdvanced Mathematical Modeling in EngineeringThermoelastic and Magnetoelastic PhenomenaStability and Controllability of Differential Equations