312 citations · 789 across the 22 of their papers we have counts for
26 papers
Diffusion-free boundary conditions for the Navier-Stokes equations
Emmanuel Dormy, David Gerard-Varet
We provide a mathematical analysis of the `diffusion-free' boundary conditions recently introduced by Lin and Kerswell for the numerical treatment of inertial waves in a fluid cont…
Improved well-posedness for the Triple-Deck and related models via concavity
David Gerard-Varet, Sameer Iyer, Yasunori Maekawa
We establish linearized well-posedness of the Triple-Deck system in Gevrey- regularity in the tangential variable, under concavity assumptions on the background flow. Due…
On the ill-posedness of the triple deck model
Helge Dietert, David Gérard-Varet
We analyze the stability properties of the so-called triple deck model, a classical refinement of the Prandtl equation to describe boundary layer separation. Combining the methodol…
Optimal Prandtl expansion around concave boundary layer
David Gerard-Varet, Yasunori Maekawa, Nader Masmoudi
We provide an optimal Gevrey stability result for general boundary layer expansions, under a mild concavity condition on the boundary layer profile. Our result generalizes (and eve…
Mild assumptions for the derivation of Einstein's effective viscosity formula
David Gérard-Varet, Richard M. Höfer
We provide a rigorous derivation of Einstein's formula for the effective viscosity of dilute suspensions of rigid balls, , set in a volume of size . So far, most ju…
A simple justification of effective models for conducting or fluid media with dilute spherical inclusions
David Gerard-Varet
We present a gentle approach to the justification of effective media approximations, for PDE's set outside the union of spheres with low volume fraction. To illustrate ou…