Publicación: EXPONENTIAL STABILITY OF A FLEXIBLE STRUCTURE WITH HISTORY AND THERMAL EFFECT
Fecha
2020
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Editor
Applications of Mathematics
Resumen
IN THIS PAPER WE STUDY THE ASYMPTOTIC BEHAVIOR OF A SYSTEM COMPOSED OF AN INTEGRO-PARTIAL DIFFERENTIAL EQUATION THAT MODELS THE LONGITUDINAL OSCILLATION OF A BEAM WITH A MEMORY EFFECT TO WHICH A THERMAL EFFECT HAS BEEN GIVEN BY THE GREEN-NAGHDI MODEL TYPE III, BEING PHYSICALLY MORE ACCURATE THAN THE FOURIER AND CATTANEO MODELS. TO ACHIEVE THIS GOAL, WE WILL USE ARGUMENTS FROM SPECTRAL THEORY, CONSIDERING A SUITABLE HYPOTHESIS OF SMOOTHNESS ON THE INTEGRO-PARTIAL DIFFERENTIAL EQUATION.
