Samir Salem

activity

20172021

collaborators

8 papers

math.AP2021

An optimal transport approach of hypocoercivity for the 1d kinetic Fokker-Plank equation

Samir Salem

A quadratic optimal transport metric on the set of probability measure over $R^{2}$ is introduced. The quadratic cost is given by the euclidean norm on $R^{2}$ associated to some wel…

math.AP2019

Derivation of the Boltzmann equation with moderately soft potentials from a perturbed Nanbu particles system

Samir Salem

We derive the 3D spatially homogeneous Boltzmann's equation with moderately soft potentials and singular angular interaction, from an interacting particles system. The collision ke…

math.AP2018

A gradient flow approach of uniform in time propagation of chaos for particles in double a well confinement

Samir Salem

We provide an estimation of the dissipation of the Wasserstein 2 distance between the law of some interacting $N$ -particle system, and the $N$ times tensorized product of solution…

math.AP2018

p-Laplacian Keller-Segel Equation: Fair Competition and Diffusion Dominated Cases

Laurent Lafleche, Samir Salem

This work deals with the aggregation diffusion equation \[\partial_t ρ= Δ_pρ+ λdiv((K_a*ρ)ρ),\] where $K_{a} (x) = \frac{x}{∣ x ∣ ^{a}}$ is an attraction kernel and $Δ_{p}$ is the so called $p…

math.AP2018

Particles approximation for some 1D kinetic Fokker-Planck equations with singular forces

Samir Salem

In this paper we consider a system of $N$ particles on the real line evolving according to Newton's law, interacting through a singular (repulsive) force deriving from the potentia…

math.AP2018

Propagation of chaos for the VPFP equation with a polynomial cut-off

José A. Carrillo, Young-Pil Choi, Samir Salem

We consider a $N$ -particle system interacting through the Newtonian potential with a polynomial cut-off in the presence of noise in velocity. We rigorously prove the propagation of…