A stability result for a memory-type Laminated-thermoelastic system with Maxwell–Cattaneo heat conduction
Soh Edwin Mukiawa, Tijani A. Apalara, Salim A. Messaoudi
Abstract
The present article investigates a thermo-viscoelastic laminated beam system, where the heat conduction is given by Maxwell–Cattaneo’s law (popularly known as second sound). We establish explicit and general stability results for the solution energy in the case of equal-speed propagation and nonequal speed. Our results contain the exponential and polynomial decay as particular cases. We also present some examples to illustrate our theoretical findings. These new results generalize and improve many results in the literature.
Topics & Concepts
Thermoelastic dampingSecond soundThermal conductionViscoelasticityStability (learning theory)Type (biology)PhysicsMathematical analysisPolynomialExponential stabilityMathematicsClassical mechanicsMechanicsThermodynamicsThermalComputer scienceAcousticsNonlinear systemQuantum mechanicsSound (geography)Machine learningEcologyBiologyAdvanced Mathematical Modeling in EngineeringStability and Controllability of Differential EquationsThermoelastic and Magnetoelastic Phenomena