32 citations · 64 across the 2 of their papers we have counts for
2 papers
math.AP2016★ 32 cited
Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts
Etienne Bernard, Marie Doumic, Pierre Gabriel
We study the asymptotic behaviour of the following linear growth-fragmentation equation$$\dfrac{\partial}{\partial t} u(t,x) + \dfrac{\partial}{\partial x} \big(x u(t,x)\big) + B(x…
math.AP2012★ 32 cited
Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates
Daniel Balagué, José Cañizo, Pierre Gabriel
We are concerned with the long-time behavior of the growth-fragmentation equation. We prove fine estimates on the principal eigenfunctions of the growth-fragmentation operator, giv…