19 citations · 132 across the 18 of their papers we have counts for
4 papers · 1 filter
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…
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…
Fractional Fokker-Planck Equation with General Confinement Force
Laurent Lafleche
This article studies a Fokker-Planck type equation of fractional diffusion with conservative drift f/t = ^(/2) f + div(Ef), where ^(/2) denotes the…