Laurent Lafleche

collaborators

3 papers

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

Propagation of Moments and Semiclassical Limit from Hartree to Vlasov Equation

Laurent Lafleche

In this paper, we prove a quantitative version of the semiclassical limit from the Hartree to the Vlasov equation with singular interaction, including the Coulomb potential. To rea…

math.AP2018

Fractional Fokker-Planck Equation with General Confinement Force

Laurent Lafleche

This article studies a Fokker-Planck type equation of fractional diffusion with conservative drift $\partial$ f/ $\partial$ t = $Δ$ ^( $α$ /2) f + div(Ef), where $Δ$ ^( $α$ /2) denotes the…