Publicación: ASYMPTOTIC BEHAVIOUR FOR A THERMOELASTIC PROBLEM OF A MICROBEAM WITH THERMOELASTICITY OF TYPE III
Fecha
2017
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Electronic Journal of Qualitative Theory of Differential Equations
Resumen
IN THIS PAPER WE STUDY THE ASYMPTOTIC BEHAVIOR OF A EQUATION MODELING A MICROBEAM MOVING TRANSVERSALLY, COUPLED WITH AN EQUATION DESCRIBING A HEAT PULSE ON IT. SUCH PULSE IS GIVEN BY A TYPE III OF THE GREEN?NAGHDI MODEL, PROVIDING A MORE REALISTIC MODEL OF HEAT FLOW FROM A PHYSICS POINT OF VIEW. WE USE SEMIGROUPS THEORY TO PROVE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF OUR MODEL, AND MULTIPLICATIVE TECHNIQUES TO PROVE EXPONENTIALLY STABLE OF ITS ASSOCIATED SEMIGROUP.
