1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
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…
Duality solutions to the hard-congestion model for the dissipative Aw-Rascle system
Nilasis Chaudhuri, Muhammed Ali Mehmood, Charlotte Perrin +1
We introduce the notion of duality solution for the hard-congestion model on the real line, and additionally prove an existence result for this class of solutions. Our study revolv…
Compression Effects in Heterogeneous Media
D. Bresch, S. Necasova, C. Perrin
We study in this paper compression effects in heterogeneous media with maximal packing constraint. Starting from compressible Brinkman equations, where maximal packing is encoded i…