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20022026
most citedThe Incompressible Navier-Stokes Limit of the Boltzmann Equation for Hard Cutoff Potentials

97 citations

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Showing 2015 · math.APShow all

4 papers · 2 filters

math.AP2015

Collision of almost parallel vortex filaments

Valeria Banica, Erwan Faou, Evelyne Miot

We investigate the occurrence of collisions in the evolution of vortex filaments through a system introduced by Klein, Majda and Damodaran [KMD95] and Zakharov [Z88,Z99]. We first…

math.AP2015★ 6 cited

Hölder regularity for hypoelliptic kinetic equations with rough diffusion coefficients

François Golse, Alexis Vasseur

This paper is dedicated to the application of the DeGiorgi-Nash-Moser regularity theory to the kinetic Fokker-Planck equation. This equation is hypoelliptic. It is parabolic only i…

math.AP2015★ 4 cited

A double large deviation principle for monge-ampere gravitation

Yann Brenier

Monge-Ampere gravitation is a nonlinear modification of classical Newtonian gravitation, when the Monge-Ampere equation substitutes for the Poisson equation. We establish, through…

math.AP2015★ 25 cited

Quasineutral limit for Vlasov-Poisson via Wasserstein stability estimates in higher dimension

Daniel Han-Kwan, Mikaela Iacobelli

This work is concerned with the quasineutral limit of the Vlasov-Poisson system in two and three dimensions. We justify the formal limit for very small but rough perturbations of a…