Publicación: ASYMPTOTIC BEHAVIOUR FOR THE VIBRATIONS MODELED BY THE STANDARD LINEAR SOLID MODEL WITH A THERMAL EFFECT
Fecha
2013
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Resumen
WE CONSIDER VIBRATIONS MODELED BY THE STANDARD LINEAR SOLID MODEL OF VISCOELASTICITY WHICH ARE COUPLED TO A HEAT EQUATION MODELING AN EXPECTEDLY DISSIPATIVE EFFECT THROUGH HEAT CONDUCTION. WE SHOW THAT THE EXPONENTIAL STABILITY UNDER THE FOURIER LAW OF HEAT CONDUCTION HOLDS. IN ORDER TO OBTAIN THE ASYMPTOTIC BEHAVIOUR WE USE MULTIPLIER TECHNIQUES.
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ELASTIC EQUATIONS, COUPLED SYSTEM OF THERMOVISCO, CO-SEMIGROUP, ASYMPTOTIC BEHAVIOUR
