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On the limit spectrum of a degenerate operator in the framework of periodic homogenization or singular perturbation problems
Kaïs Ammari, Ali Sili
In this paper we perform the analysis of the spectrum of a degenerate operator $A_\var$ corresponding to the stationary heat equation in a $\var$-periodic composite medium having t…
Non-local effects by homogenization or 3D-1D dimension reduction in elastic materials reinforced by stiff fibers
Roberto Paroni, Ali Sili
We first consider an elastic thin heterogeneous cylinder of radius of order epsilon: the interior of the cylinder is occupied by a stiff material (fiber) that is surrounded by a so…
Asymptotic Analysis of the Eigenvalues of a Laplacian Problem in a Thin Multidomain
Antonio Gaudiello, Ali Sili
We consider a thin multidomain of , N>1, consisting of two vertical cylinders, one placed upon the other: the first one with given height and small cross section, the second o…
Junction of elastic plates and beams (Preliminary version)
Antonio Gaudiello, Regis Monneau, Jacqueline Mossino +2
We consider the linearized elasticity system in a multidomain of the three dimensional space. This multidomain is the union of a horizontal plate, with fixed cross section and smal…