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Chapter
High-Frequency Vibrations of Systems with Concentrated Masses Along Planes
Let Ω be an open bounded domain of ℝ3 with a smooth boundary \(\partial\Omega\) . Weassume that Ω is divided into two parts Ω+ and Ω- by the plane ...
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Chapter
On Different Quasimodes for the Homogenization of Steklov-Type Eigenvalue Problems
Roughly speaking, a quasimode for an operator with a discrete spectrum on a Hilbert space can be defined as a pair ( \(\tilde{w}, \mu\) ), where ...
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Article
The Bloch Approximation in Periodically Perforated Media
We consider a periodically heterogeneous and perforated medium filling an open domain Ω of ℝN. Assuming that the size of the periodicity of the structure and of the holes is O(ε), we study the asymptotic behavio...