On a Thermoelastic Laminated Timoshenko Beam: Well Posedness and Stability
Baowei Feng
Abstract
In this paper, we are concerned with a linear thermoelastic laminated Timoshenko beam, where the heat conduction is given by Cattaneo’s law. We firstly prove the global well posedness of the system. For stability results, we establish exponential and polynomial stabilities by introducing a stability number <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>χ</mml:mi></mml:math>.
Topics & Concepts
Thermoelastic dampingTimoshenko beam theoryBeam (structure)Stability (learning theory)Thermal conductionPolynomialExponential stabilityMathematicsApplied mathematicsExponential functionMathematical analysisMaterials scienceThermodynamicsComputer sciencePhysicsThermalStructural engineeringEngineeringQuantum mechanicsMachine learningNonlinear systemStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringThermoelastic and Magnetoelastic Phenomena