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math.AP2023
Acceleration or finite speed propagation in weakly monostable reaction-diffusion equations
Emeric Bouin, Jérôme Coville, Xi Zhang
This paper focuses on propagation phenomena in reaction-diffusion equations with a weaklymonostable nonlinearity. The reaction term can be seen as an intermediate between the class…
math.AP2023
Hypocoercivity methods for kinetic Fokker-Planck equations with factorised Gibbs states
Emeric Bouin, Jean Dolbeault, Luca Ziviani
This contribution deals with hypocoercivity methods for kinetic Fokker-Planck equations with integrable local equilibria and a \emph{factorisation} property that rela…
math.AP2023
A simple flattening lower bound for solutions to some linear integrodifferential equations
Emeric Bouin, Jérôme Coville, Guillaume Legendre
Estimates on the asymptotic behaviour of solution to linear integro-differential equations are fundamental in understanding the dynamics occuring in many nonlocal evolution problem…