Stabilization for an inhomogeneous porous‐elastic system with temperature and microtemperature
Baowei Feng, Ling Yan, Dilberto da Silva Almeida Júnior
2020ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik17 citationsDOI
Abstract
Abstract In this paper we are concerned with a one‐dimensional linear theory of inhomogeneous porous‐thermo‐elastic materials with microtemperatures. The main results contain the global well‐posedness and stability of the system. By using Lumer–Philips theorem, we prove that the system is well posed. By using energy method, we establish exponential decay rate of the system.
Topics & Concepts
Porous mediumPorosityStability (learning theory)Energy methodExponential stabilityExponential functionMathematicsMathematical analysisEnergy (signal processing)Exponential growthMechanicsMaterials sciencePhysicsComputer scienceComposite materialNonlinear systemQuantum mechanicsMachine learningStatisticsThermoelastic and Magnetoelastic PhenomenaStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in Engineering