467 citations · 2.6k across the 59 of their papers we have counts for
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Existence of self-accelerating fronts for a non-local reaction-diffusion equations
Nathanaël Berestycki, Clément Mouhot, Gaël Raoul
We describe the accelerated propagation wave arising from a non-local reaction-diffusion equation. This equation originates from an ecological problem, where accelerated biological…
Hölder continuity of solutions to hypoelliptic equations with bounded measurable coefficients
Cyril Imbert, Clément Mouhot
We prove that weak solutions to hypoelliptic equations with bounded measurable coefficients are Hölder continuous. The proof relies on classical techniques developed by De Gi…
Hypocoercivity for a linearized multi-species Boltzmann system
Esther Sarah Daus, Ansgar Jüngel, Clément Mouhot +1
A new coercivity estimate on the spectral gap of the linearized Boltzmann collision operator for multiple species is proved. The assumptions on the collision kernels include hard a…
On the Mean Field and Classical Limits of Quantum Mechanics
François Golse, Clément Mouhot, Thierry Paul
The main result in this paper is a new inequality bearing on solutions of the -body linear Schrödinger equation and of the mean field Hartree equation. This inequality implies t…