37 citations · 46 across the 10 of their papers we have counts for
13 papers
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 is introduced. The quadratic cost is given by the euclidean norm on associated to some wel…
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…
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 -particle system, and the times tensorized product of solution…
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 is an attraction kernel and is the so called $p…
Fractional Keller-Segel Equation: Global Well-posedness and Finite Time Blow-up
Laurent Lafleche, Samir Salem
This article studies the aggregation diffusion equation \[ \partial_tρ= Δ^\fracα{2} ρ+ λ\,\mathrm{div}((K*ρ)ρ), \] where denotes the fractional Laplacian and $K = \fr…
Particles approximation for some 1D kinetic Fokker-Planck equations with singular forces
Samir Salem
In this paper we consider a system of particles on the real line evolving according to Newton's law, interacting through a singular (repulsive) force deriving from the potentia…
Propagation of chaos for the VPFP equation with a polynomial cut-off
José A. Carrillo, Young-Pil Choi, Samir Salem
We consider a -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…
Propagation of chaos for some 2 dimensional fractional Keller Segel equations in diffusion dominated and fair competition cases
Samir Salem
In this work we deal with the local in time propagation of chaos without cut-off for some two dimensional fractional Keller Segel equations. More precisely the diffusion considered…
Cucker-Smale flocking particles with multiplicative noises: stochastic mean-field limit and phase transition
Young-Pil Choi, Samir Salem
In this paper, we consider the Cucker-Smale flocking particles which are subject to the same velocity-dependent noise, which exhibits a phase change phenomenon occurs bringing the…
Collective behavior models with vision geometrical constraints: truncated noises and propagation of chaos
Young-Pil Choi, Samir Salem
We consider large systems of stochastic interacting particles through discontinuous kernels which has vision geometrical constrains. We rigorously derive a Vlasov-Fokker-Planck typ…
Propagation of chaos for aggregation equations with no-flux boundary conditions and sharp sensing zones
Young-Pil Choi, Samir Salem
We consider a -particle interacting particle system with the vision geometrical constraints and reflected noises, proposed as a model for collective behavior of individuals. We…
Propagation of chaos for the Vlasov-Poisson-Fokker-Planck system in 1D
Maxime Hauray, Samir Salem
We consider a particle system in 1D, interacting via repulsive or attractive Coulomb forces. We prove the trajectorial propagation of molecular chaos towards a nonlinear SDE associ…
Mean-field limit for collective behavior models with sharp sensitivity regions
José A. Carrillo, Young-Pil Choi, Maxime Hauray +1
We rigorously show the mean-field limit for a large class of swarming individual based models with local sharp sensitivity regions. For instance, these models include nonlocal repu…