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math.AP2017
Long-time asymptotics for polymerization models
Juan Calvo, Marie Doumic, Benoît Perthame
This study is devoted to the long-term behavior of nucleation, growth and fragmentation equations, modeling the spontaneous formation and kinetics of large polymers in a spatially…
math.AP2017
Explicit Solution and Fine Asymptotics for a Critical Growth-Fragmentation Equation
Marie Doumic, Bruce Van Brunt
We give here an explicit formula for the following critical case of the growth-fragmentation equation $$\frac{\partial}{\partial t} u(t, x) + \frac{\partial}{\partial x} (gxu(t, x)…