Abstracts > Hillairet Matthieu

To understand the behavior of a viscous fluid interacting with a cloud of particles, a classical
model consists in writing the (stationary) Stokes equations on a perforated domain with
boundary conditions mimicking the action of the particles. If the cloud is sufficiently dilute,
the "method of reflections" consists in computing the solution to this problem as a sum
of solutions around one particle only. In this talk, I am discussing the assumptions making
this method converge and its application to the computation of a homogenized model
when the number of particles diverges while their radii tend to 0.