78 citations · 142 across the 5 of their papers we have counts for
5 papers
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…
Time scales separation for dynamo action
Emmanuel Dormy, David Gerard-Varet
The study of dynamo action in astrophysical objects classically involves two timescales: the slow diffusive one and the fast advective one. We investigate the possibility of field…
The Navier wall law at a boundary with random roughness
David Gerard-Varet
We consider the Navier-Stokes equation in a domain with irregular boundaries. The irregularity is modeled by a spatially homogeneous random process, with typical size $\eps \ll 1$.…
Wall laws for fluid flows at a boundary with random roughness
Arnaud Basson, David Gerard-Varet
The general concern of this paper is the effect of rough boundaries on fluids. We consider a stationary flow, governed by incompressible Navier-Stokes equations, in an infinite dom…
Remarks on Boundary Layer Expansions
David Gerard-Varet, Thierry Paul
A systematic mathematical methodology for derivation of boundary layer expansions is presented. An explicit calculation of boundary layer sizes is given and proved to be coordinate…