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Issue ESAIM: Proc.
Volume 2, 1997
Elasticity, viscoelasticity and optimal control
Page(s) 17 - 53
DOI http://dx.doi.org/10.1051/proc:1997022

ESAIM: Proc., 1997, Vol. 2, pp. 17-53
DOI: 10.1051/proc:1997022

A hybrid system consisting in two flexible beams connected by a point mass: spectral analysis and well-posedness in asymmetric spaces

Carlos Castro and Enrique Zuazua

Departamento de Matemática Aplicada Universidad Complutense 28040 Madrid, Spain


Abstract
We consider a hybrid system consisting in two flexible beams connected by a point mass. We prove that the presence of the point mass affects the spectral gap when the inertia term does not vanish. This allows us to show that the system is well-posed in a symmetric space in which solutions have one more degree of regularity to one side of the mass. The proofs combine classical techniques from asymptotic analysis and the theory of non-harmonic Fourier series.



© EDP Sciences, ESAIM,  1997


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