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ON A MODEL FOR VIBRATIONS OF ELASTIC MEMBRANES

L. A. Medeiros, J. Limaco

Abstract


In this work we find a new model for small vertical vibrations of elastic membranes and we investigate the existence and uniqueness of global solutions, when we have a damping. In a previous article, [11], we investigated this model with a linear viscosity of the type $\delta v'$,\,\, $\delta > 0$. In the present work we consider a viscosity of the type $F(v')$ for a function $F \in C^1(\re,\re)$ and better hypothesis on the deformation mapping $K(t)$. The model contains the Kirchhoff-Carrier model as a particular case.


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