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math.AP2011
Computation of the drag force on a rough sphere close to a wall
David Gérard-Varet, Matthieu Hillairet
We consider the effect of surface roughness on solid-solid contact in a Stokes flow. Various models for the roughness are considered, and a unified methodology is given to derive t…
math.AP2010★ 12 cited
Smooth type II blow up solutions to the four dimensional energy critical wave equation
Matthieu Hillairet, Pierre Raphaël
We exhibit type II blow up solutions to the focusing energy critical wave equation in dimension . These solutions admit near blow up time a decomposiiton…
math.AP2008★ 78 cited
Regularity issues in the problem of fluid structure interaction
David Gérard-Varet, Matthieu Hillairet
We investigate the evolution of rigid bodies in a viscous incompressible fluid. The flow is governed by the 2D Navier-Stokes equations, set in a bounded domain with Dirichlet bound…