Publicación: ANALYTICITY OF HYBRID SYSTEMS ARISING IN VISCO AND THERMO ELASTIC STRUCTURES
Fecha
2019
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Resumen
WE CONSIDER TWO SYSTEMS ARISING IN A TWO-DIMENSIONAL VISCOELASTIC FLUID-STRUCTURE INTERACTION, ONE OF THEM COUPLED WITH A WAVE EQUATION WITH INTERIOR DAMPING OF KELVIN?VOIGT TYPE. IN THE SECOND MODEL, THE ACOUSTIC VIBRATIONS OF THE VISCOUS FLUID WHICH FILLS THE TWO-DIMENSIONAL INTERIOR CAVITY ARE COUPLED WITH THE MECHANICAL VIBRATIONS OF A ONE-DIMENSIONAL THERMOELASTIC BEAM. THEREFORE, THE SYSTEMS ARE RELATED TO THE PROBLEM OF THE ACTIVE CONTROL OF NOISE IN A CAVITY. OUR MAIN RESULTS ARE THAT THE CORRESPONDING SEMIGROUPS ARE ANALYTIC. IN PARTICULAR WE SHOW THE EXPONENTIAL STABILITY OF THE MODELS.
