N
Nicolas Fournier
Researcher at University of Paris
Publications - 110
Citations - 3438
Nicolas Fournier is an academic researcher from University of Paris. The author has contributed to research in topics: Boltzmann equation & Stochastic differential equation. The author has an hindex of 29, co-authored 106 publications receiving 3044 citations. Previous affiliations of Nicolas Fournier include Nancy-Université & Institut Élie Cartan de Lorraine.
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On some stochastic coalescents
TL;DR: In this paper, the authors consider infinite systems of macroscopic particles characterized by their masses and show that the obtained processes are the only possible limits when making the number of particles tend to infinity in a sequence of finite particle systems with the same dynamics.
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Regularization properties of the 2D homogeneous Boltzmann equation without cutoff
Vlad Bally,Nicolas Fournier +1 more
TL;DR: In this paper, the authors considered the 2-dimensional spatially homogeneous Boltzmann equation for hard potentials and proved that the solution instantaneously belongs to H r − 1, 2 for a class of very hard possible jump processes.
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A coupling approach for the convergence to equilibrium for a collisionless gas
Armand Bernou,Nicolas Fournier +1 more
TL;DR: In this paper, the authors used a probabilistic approach to study the rate of convergence to equilibrium for a collisionless (Knudsen) gas in dimension equal to or larger than 2.
Journal Article
A weak criterion of absolute continuity for jump processes; Application to the Boltzmann equation
Nicolas Fournier,Sylvie Méléard +1 more
TL;DR: In this article, a general and quite simple criterion of absolute continuity, based on the use of almost sure derivatives, which is available even when no integration by parts may be used.
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From a Kac-like particle system to the Landau equation for hard potentials and Maxwell molecules
Nicolas Fournier,Arnaud Guillin +1 more
TL;DR: In this article, it was shown that the convergence of a conservative stochastic particle system to the solution of the homogeneous Landau equation for hard potentials is uniform in time.