Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 56, No. 4, pp. 465-500 (1999)

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Kirchhoff-Carrier Elastic Strings in Noncylindrical Domains

J. Limaco Ferrel and L.A. Medeiros

Instituto de Matemática UFF,
Rua S\ ao Paulo s/n, CEP 24210-110 Niterói RJ - BRASIL
Instituto de Matemática UFRJ,
C.P. 68530 - CEP 21944-970, Rio de Janeiro, RJ - BRASIL

Abstract: The existence and uniqueness of local and global solutions for the Kirchhoff-Carrier nonlinear model for the vibrations of elastic strings in noncylindrical domains are investigated by means of the Galerkin Method. The asymptotic behaviour of the energy is also studied.

Keywords: Kirchhoff-Carrier; strings; noncylindrical; global solutions; asymptotic behaviour.

Classification (MSC2000): 35F30, 35K35.

Full text of the article:

Electronic version published on: 31 Jan 2003. This page was last modified: 27 Nov 2007.

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