Stabilization of a coupled multidimensional system

• Autores: Abdoulaye Sène, Serge Nicaise
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 19, Nº 2, 2006, págs. 277-295
• Idioma: inglés
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• Resumen

  • We introduce a model of a vibrating multidimensional structure made of a n-dimensional body and a one dimensional rod. We actually consider the anisotropic elastodynamic system in the n-dimensional body and the Euler-Bernouilli beam in the one-dimensional rod. These equations are coupled via their boundaries. Using appropriate feedbacks on a part of the boundary we show the exponential decay of the energy of the system.