416 citations
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math.AP2016★ 15 cited
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…
math.AP2013★ 11 cited
The Diffusion Approximation for the Linear Boltzmann Equation with Vanishing Scattering Coefficient
Claude Bardos, Etienne Bernard, François Golse +1
The present paper discusses the diffusion approximation of the linear Boltzmann equation in cases where the collision frequency is not uniformly large in the spatial domain. Our re…