84 citations · 340 across the 25 of their papers we have counts for
6 papers · 2 filters
On an existence theory for a fluid-beam problem encompassing possible contacts
Jean-Jérôme Casanova, Céline Grandmont, Matthieu Hillairet
In this paper we consider a coupled system of pdes modelling the interaction between a two--dimensional incompressible viscous fluid and a one--dimensional elastic beam located on…
Existence of contacts for the motion of a rigid body into a viscous incompressible fluid with the Tresca boundary conditions
Matthieu Hillairet, Takéo Takahashi
We consider a fluid-structure interaction system composed by a rigid ball immersed into a viscous incompressible fluid. The motion of the structure satisfies the Newton laws and th…
A homogenized limit for the 2D Euler equations in a perforated domain
Matthieu Hillairet, Christophe Lacave, Di Wu
We study the motion of an ideal incompressible fluid in a perforated domain. The porous medium is composed of inclusions of size separated by distances and the fluid…
Effective viscosity of a polydispersed suspension
Matthieu Hillairet, Di Wu
We compute the first order correction of the effective viscosity for a suspension containing solid particles with arbitrary shapes. We rewrite the computation as an homogenization…
Analysis of the viscosity of dilute suspensions beyond Einstein's formula
David Gerard-Varet, Matthieu Hillairet
We provide a mathematical analysis of the effective viscosity of suspensions of spherical particles in a Stokes flow, at low solid volume fraction . Our objective is to go beyon…
Global weak solutions for quantum isothermal fluids
Rémi Carles, Kleber Carrapatoso, Matthieu Hillairet
We construct global weak solutions to isothermal quantum Navier-Stokes equations, with or without Korteweg term, in the whole space of dimension at most three. Instead of working o…