On the vibration problem for an elastic body surrounded by a slightly compressible fluid
R. Ohayon, E. Sanchez-Palencia (1983)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Displaying similar documents to “Asymptotics of the scattering frequencies for a thermoelasticity problem with small thermal conductivity”
On the vibration problem for an elastic body surrounded by a slightly compressible fluid
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ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Asymptotic study of the vibration problem for an elastic body deeply immersed in an incompressible fluid
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Scattering problems in a domain with small holes.
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In this paper, we consider a family of scattering problems in perforated unbounded domains Ω. We assume that the perforation is contained in a bounded region and that the holes have a ?critical? size. We study the asymptotic behaviour of the outgoing solutions of the steady-state scattering problem and we prove that an extra term appears in the limit equation. Finally, we obtain convergence results for scattering frequencies and solutions.
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