On the decay of the energy for radial solutions in Moore–Gibson–Thompson thermoelasticity
Noelia Bazarra, José R. Fernández, R. Quintanilla
Abstract
In this paper, we consider the Moore–Gibson–Thompson thermoelastic theory. We restrict our attention to radially symmetric solutions and we prove the exponential decay with respect to the time variable. We demonstrate this fact with the help of energy arguments. Later, we give some numerical simulations to illustrate this behaviour.
Topics & Concepts
Thermoelastic dampingEnergy (signal processing)Variable (mathematics)Exponential decayExponential functionEnergy methodPhysicsClassical mechanicsMathematicsMathematical analysisCalculus (dental)ThermalThermodynamicsQuantum mechanicsMedicineDentistryThermoelastic and Magnetoelastic PhenomenaNumerical methods in engineeringNumerical methods in inverse problems