21 citations · 28 across the 12 of their papers we have counts for
15 papers
A variational approach to the derivation of reduced models for bubbly flows
Cosmin Burtea, David Gérard-Varet
In this paper, we derive reduced models for the motion of gas bubbles in an ambient inviscid liquid, using Hamilton's least action principle. We first explain how to recover from t…
Homogenization of stiff inclusions through network approximation
David Gérard-Varet, Alexandre Girodroux-Lavigne
We investigate the homogenization of inclusions of infinite conductivity, randomly stationary distributed inside a homogeneous conducting medium. A now classical result by Zhikov s…
On the correction to Einstein's formula for the effective viscosity
David Gérard-Varet, Amina Mecherbet
This paper is a follow-up of article [6], on the derivation of accurate effective models for viscous dilute suspensions. The goal is to identify an effective Stokes equation provid…
The vanishing viscosity limit for 2D Navier-Stokes in a rough domain
David Gérard-Varet, Christophe Lacave, Toan T. Nguyen +1
We study the high Reynolds number limit of a viscous fluid in the presence of a rough boundary. We consider the two-dimensional incompressible Navier-Stokes equations with Navier s…
Landau damping to partially locked states in the Kuramoto model
Helge Dietert, Bastien Fernandez, David Gérard-Varet
In the Kuramoto model of globally coupled oscillators, partially locked states (PLS) are stationary solutions that incorporate the emergence of partial synchrony when the interacti…
Nonlinear boundary layers for rotating fluids
Anne-Laure Dalibard, David Gérard-Varet
We investigate the behavior of rotating incompressible flows near a non-flat horizontal bottom. In the flat case, the velocity profile is given explicitly by a simple linear ODE. W…
Rough wall effect on micro-swimmers
David Gérard-Varet, Laetitia Giraldi
We study the effect of a rough wall on the controllability of micro-swimmers made of several balls linked by thin jacks: the so-called 3-sphere and 4-sphere swimmers. We show that…
The influence of boundary conditions on the contact problem in a 3D Navier-Stokes Flow
David Gérard-Varet, Matthieu Hillairet, Chao Wang
We consider the free fall of a sphere above a wall in a viscous incompressible fluid. We investigate the influence of boundary conditions on the finite-time occurrence of contact b…
Computation of the effective slip of rough hydrophobic surfaces via homogenization
Matthieu Bonnivard, Anne-Laure Dalibard, David Gérard-Varet
We present a quantitative analysis of the effect of rough hydrophobic surfaces on viscous newtonian flows. We use a model introduced by Ybert and coauthors in which the rough surfa…
Existence of weak solutions up to collision for viscous fluid-solid systems with slip
David Gérard-Varet, Matthieu Hillairet
We study in this paper the movement of a rigid solid inside an incompressible Navier-Stokes flow, within a bounded domain. We consider the case where slip is allowed at the fluid/s…
On shape optimization problems involving the fractional laplacian
Anne-Laure Dalibard, David Gérard-Varet
Our concern is the computation of optimal shapes in problems involving $\(-Δ)^{1/2}$. We focus on the energy associated to the solution of the basic Dirichlet problem…
Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries
David Gérard-Varet, Daniel Han-Kwan, Frédéric Rousset
We study the quasineutral limit of the isothermal Euler-Poisson system describing a plasma made of ions and massless electrons. The analysis is achieved in a domain of and t…
The 2D Euler equation on singular domains
David Gérard-Varet, Christophe Lacave
We establish the existence of global weak solutions of the 2D incompressible Euler equation, for a large class of non-smooth open sets. These open sets are the complements (in a si…
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…
Effective boundary condition at a rough surface starting from a slip condition
Anne-Laure Dalibard, David Gérard-Varet
We consider the homogenization of the Navier-Stokes equation, set in a channel with a rough boundary, of small amplitude and wavelength . It was shown recently that, for any non…