Exponential stabilization of swelling porous systems with thermoelastic damping
Tijani A. Apalara, Moruf Olalekan Yusuf, Soh Edwin Mukiawa, Ohud Almutairi
Abstract
We study two systems of swelling porous thermoelasticity with minimum damping. Employing the standard multiplier method, we stabilize the systems exponentially without imposing restrictions on the wave velocities of the systems. This result is contrary to those obtained for closely related systems (like Timoshenko and porous systems) with similar single damping. In such scenarios, the authors established that a single damping term is insufficient to exponentially stabilize the system unless the assumption of the equality of wave velocities is imposed.
Topics & Concepts
Thermoelastic dampingSwellingPorosityExponential functionPorous mediumMechanicsExponential stabilityExponential growthMaterials sciencePhysicsMathematical analysisMathematicsThermodynamicsComposite materialThermalNonlinear systemQuantum mechanicsThermoelastic and Magnetoelastic PhenomenaStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in Engineering