2 papers
math.AP2026
Microscopic derivation of the one-dimensional constrained Euler equations
Charlotte Perrin
We provide a new existence result for weak solutions to the one-dimensional Euler equations with a maximal density constraint, corresponding to a unilateral constraint on the densi…
math.AP2026
Microscopic derivation of a one-dimensional lubrication model with roughness
Aline Lefebvre-Lepot, Muhammed Ali Mehmood, Charlotte Perrin +1
We derive a hydrodynamic model for the motion of inertial particles with a spherical hard core, interacting through lubrication forces and pairwise repulsive forces. The repulsion…