2 citations · 3 across the 4 of their papers we have counts for
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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…
Concentration profiles in FitzHugh-Nagumo neural networks: A Hopf-Cole approach
Alain Blaustein, Emeric Bouin
In this paper we focus on a spatially extended FitzHugh-Nagumo model with interactions. In the regime where strong and local interactions dominate, we quantify how the probability…
The Bramson logarithmic delay in the cane toads equations
Emeric Bouin, Christopher Henderson, Lenya Ryzhik
We study a nonlocal reaction-diffusion-mutation equation modeling the spreading of a cane toads population structured by a phenotypical trait responsible for the spatial diffusion…
A Hamilton-Jacobi approach for front propagation in kinetic equations
Emeric Bouin
In this paper we use the theory of viscosity solutions for Hamilton-Jacobi equations to study propagation phenomena in kinetic equations. We perform the hydrodynamic limit of some…
A kinetic eikonal equation
Emeric Bouin, Vincent Calvez
We analyse the linear kinetic transport equation with a BGK relaxation operator. We study the large scale hyperbolic limit $(t,x)\to (t/\eps,x/\eps)$. We derive a new type of limit…