3 papers
math.AP2026
Existence of solutions for an interaction problem between a bubble and a compressible viscous fluid
Fabien Lespagnol, Matthieu Hillairet
In this paper, we study the dynamics of a finite number of spherical bubbles in a compressible fluid within a bounded open domain of R 3 . The fluid-bubble interaction is described…
math.AP2024
Long-time behavior of an anisotropic rigid body interacting with a Poiseuille flow in an unbounded 2D channel
Denis Bonheure, Matthieu Hillairet, Clara Patriarca +1
We study the long-time behavior of an elliptic rigid body which is allowed to vertically translate and rotate in a 2D unbounded channel under the action of a Poiseuille flow at lar…
math.AP2016
A compressible multifluid system with new physical relaxation terms
D Bresch, M Hillairet
In this paper, we rigorously derive a new compressible multifluid system from compressible Navier-Stokes equations with density-dependent viscosity in the one-dimensional in space…