On an evolution equation with acoustic boundary conditions |
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| Authors: | Juan Límaco Haroldo Rodrigues Clark Cicero Lopes Frota Luis Adauto Medeiros |
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| Institution: | 1. Universidade Federal Fluminense, IM, , RJ, Brazil;2. Universidade Estadual de Maringá, DMA, , PR, Brazil;3. Universidade Federal do Rio de Janeiro, IM, , RJ, Brazil |
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| Abstract: | 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. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | nonlinear evolution equation acoustic boundary conditions |
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