84 citations · 340 across the 25 of their papers we have counts for
30 papers
Hindered Settling of Well-Separated Particle Suspensions
Matthieu Hillairet, Richard M. Höfer
We consider identical inertialess rigid spherical particles in a Stokes flow in a domain . We study the average sedimentation velocity of the particles wh…
Analysis of compressible bubbly flows. Part II: Derivation of a macroscopic model
Matthieu Hillairet, Hélène Mathis, Nicolas Seguin
This paper is the second of the series of two papers, which focuses on the derivation of an averaged 1D model for compressible bubbly flows. For this, we start from a microscopic d…
Unbounded-energy solutions to the fluid+disk system and long-time behavior for large initial data
Guillaume Ferriere, Matthieu Hillairet
In this paper, we analyse the long-time behavior of solutions to a coupled system describing the motion of a rigid disk in a 2D viscous incompressible fluid. Following previous app…
Large-time behavior of compressible polytropic fluids and nonlinear Schr{ö}dinger equation
Rémi Carles, Kleber Carrapatoso, Matthieu Hillairet
In this paper we analyze the large-time behavior of weak solutions to polytropic fluid models possibly including quantum and capillary effects. Formal a priori estimates show that…
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…