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20052008
most citedA microscopic probabilistic description of a locally regulated population and macroscopic approximations

285 citations · 285 across the 5 of their papers we have counts for

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math.AP2007

A new regularization possibility for the Boltzmann equation with soft potentials

Nicolas Fournier

We consider a simplified Boltzmann equation: spatially homogeneous, two-dimensional, radially symmetric, with Grad's angular cutoff, and linearized around its initial condition. We…

math.AP2007★ 41 cited

On the uniqueness for the spatially homogeneous Boltzmann equation with a strong angular singularity

Nicolas Fournier, Hélène Guérin

We prove an inequality on the Wasserstein distance with quadratic cost between two solutions of the spatially homogeneous Boltzmann equation without angular cutoff, from which we d…