Stabilization of a Coupled Multidimensional System

  • Serge Nicaise
  • Abdoulaye Sene

Resumo

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.

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Publicado
2006-07-13
Como Citar
Nicaise S. y Sene A. (2006). Stabilization of a Coupled Multidimensional System. Revista Matemática Complutense, 19(2), 277-296. https://doi.org/10.5209/rev_REMA.2006.v19.n2.16581
Secção
Artículos