126 citations · 619 across the 30 of their papers we have counts for
3 papers · 1 filter
Spectral description of a cell growth and division equation
Pierre Gabriel, Bruce van Brunt, Graeme Charles Wake +1
We give a refined description of the dominant spectrum of a non-local operator that models growth and equal mitosis of cells. More precisely we look at the spectrum in half planes…
The principal eigenvalue problem for time-periodic nonlocal equations with drift
Bertrand Cloez, Adil El Abdouni, Pierre Gabriel
In this work, we consider a general time-periodic linear transport equation with integral source term. We prove the existence of a Floquet principal eigenvalue, namely a real numbe…
Constructive Krein-Rutman result for Kinetic Fokker-Planck equations in a domain
Kleber Carrapatoso, Pierre Gabriel, Richard Medina +1
We consider a general Kinetic Fokker-Planck (KFP) equation in a domain with Maxwell reflection condition on the boundary, not necessarily with conservation of mass. We establish th…