Vibrations of elastic string with nonhomogeneous material |
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Authors: | J Límaco LA Medeiros |
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Institution: | a Universidade Federal Fluminense, IM, RJ, Brazil b 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 fixed ends and the density of the material being not constant. We employ techniques of functional analysis, mainly a theorem of compactness for the analysis of the approximation of Faedo-Galerkin method. We obtain strong global solutions with restrictions on the initial data u0 and u1, uniqueness of solutions and a rate decay estimate for the energy. |
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Keywords: | Vibrations of an elastic string Kirchhoff equation Nonhomogeneous material |
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