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math.AP2021
Diameters of the level sets for reaction-diffusion equations in nonperiodic slowly varying media *
François Hamel, Grégoire Nadin
We consider in this article reaction-diffusion equations of the Fisher-KPP type with a nonlinearity depending on the space variable x, oscillating slowly and non-periodically. We a…
math.AP2021★ 1 cited
Spreading speeds and spreading sets of reaction-diffusion equations
François Hamel, Luca Rossi
This paper deals with the large time dynamics of bounded solutions of reaction-diffusion equations with unbounded initial support in . We prove a variational formula…
math.AP2021
Reaction-diffusion fronts in funnel-shaped domains
François Hamel, Mingmin Zhang
We consider bistable reaction-diffusion equations in funnel-shaped domains of R N made up of straight parts and conical parts with positive opening angles. We study the large time…