126 citations · 619 across the 30 of their papers we have counts for
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Limiting Hamilton-Jacobi Equation for the Large Scale Asymptotics of a Subdiffusion Jump-Renewal Equation
Vincent Calvez, Pierre Gabriel, Álvaro Mateos González
Subdiffusive motion takes place at a much slower timescale than diffusive motion. As a preliminary step to studying reaction-subdiffusion pulled fronts, we consider here the hyperb…
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…
Asymptotic behavior of the growth-fragmentation equation with bounded fragmentation rate
Etienne Bernard, Pierre Gabriel
We are interested in the large time behavior of the solutions to the growth-fragmentation equation. We work in the space of integrable functions weighted with the principal dual ei…