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On an evolution equation with acoustic boundary conditions

✍ Scribed by Juan Límaco; Haroldo Rodrigues Clark; Cicero Lopes Frota; Luis Adauto Medeiros

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
206 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

In this paper, we analyze from the mathematical point of view a model for small vertical vibrations of an elastic string with weak internal damping and quadratic term, coupled with mixed boundary conditions of Dirichlet type and acoustic type. Our goal is to extend some of the results of Frota-Goldstein work in the sense of considering a weaker internal damping and one more quadratic nonlinearity in the elastic string equation.

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