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math.AP2016
Large scale asymptotics of velocity-jump processes and non-local Hamilton-Jacobi equations
Emeric Bouin, Vincent Calvez, Emmanuel Grenier +1
We investigate a simple velocity jump process in the regime of large deviation asymptotics. New velocities are taken randomly at a constant, large, rate from a Gaussian distributio…
math.AP2016
Large time monotonicity of solutions of reaction-diffusion equations in R^N
Emmanuel Grenier, François Hamel
In this paper, we consider nonnegative solutions of spatially heterogeneous Fisher-KPP type reaction-diffusion equations in the whole space. Under some assumptions on the initial c…