On Bloch waves for the Stokes equations
Abstract
In this work, we study the Bloch wave decomposition for the Stokes equations in a periodic media in R-d. We prove that, because of the incompressibility constraint, the Bloch eigenvalues, as functions of the Bloch frequency xi, are not continuous at the origin. Nevertheless, when xi goes to zero in a fixed direction, we exhibit a new limit spectral problem for which the eigenvalues are directionally differentiable. Finally, we present an analogous study for the Bloch wave decomposition for a periodic perforated domain.
General note
Artículo de publicación ISI
Quote Item
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B Volume: 7 Issue: 1 Pages: 1-28 Published: JAN 2007
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