05/11/2011
Séminaire le 28 novembre 2011 : Unication of Dynamic Density Functional Theory for Colloids
Unication of Dynamic Density Functional Theory for Colloids
Adeline Augier, Université Paris-Sud
Lundi 28 novembre 2011 à 11h00
We study the acoustic properties of a microstructured material such as glass wool or foam. In our model, the
solid matrix is governed by linear elasticity and the surrounding uid obeys Stokes equations. The microstructure
is assumed to be periodic at some small scale and the viscosity coecient of the uid is assumed to be of order
2
. We consider the time-harmonic regime forced by vibrations applied on a part of the boundary. We use the
two-scale convergence theory to prove the convergence of the displacements to the solution of a homogeneous
problem as the size of the microstructure shrinks to 0. We conclude with some numerical results. The talk is based
on joint work with François Alouges, Benjamin Graille and Benoît Merlet.
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