On the homogenization of the Stokes equations in perforated domains with application to fluid/solid interaction problems
Hillairet, Matthieu1
1 Institut Montpelliérain Alexander Grothendieck, Université de Montpellier
Séminaire Laurent Schwartz — EDP et applications (2016-2017), Exposé no. 15, 15 p.

In these notes, we consider the Stokes equations on a perforated domain. The inclusions represent particles moving in a viscous fluid so that the partial differential equations in the bulk are completed with non-zero boundary conditions simulating the motion of the particles. We review recent results on the associated homogenization problem in the regime where the number of particles increases while their diameters converge to 0.

Publié le :
DOI : 10.5802/slsedp.102
Hillairet, Matthieu 1

1 Institut Montpelliérain Alexander Grothendieck, Université de Montpellier 
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Hillairet, Matthieu. On the homogenization of the Stokes equations in perforated domains with application to fluid/solid interaction problems. Séminaire Laurent Schwartz — EDP et applications (2016-2017), Exposé no. 15, 15 p. doi : 10.5802/slsedp.102. http://archive.numdam.org/articles/10.5802/slsedp.102/

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