114 citations · 200 across the 11 of their papers we have counts for
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math-ph2014★ 47 cited
From Boltzmann to incompressible Navier-Stokes in Sobolev spaces with polynomial weight
Marc Briant, Sara Merino-Aceituno, Clément Mouhot
We study the Boltzmann equation on the -dimensional torus in a perturbative setting around a global equilibrium under the Navier-Stokes linearisation. We use a recent functional…
math.AP2014★ 14 cited
Anomalous energy transport in FPU- chain
Antoine Mellet, Sara Merino-Aceituno
This paper is devoted to the derivation of a macroscopic fractional diffusion equation describing heat transport in an anharmonic chain. More precisely, we study here the so-called…
math-ph2014
Kinetic derivation of fractional Stokes and Stokes-Fourier systems
Sabine Hittmeir, Sara Merino-Aceituno
In recent works it has been demonstrated that using an appropriate rescaling, linear Boltzmann-type equations give rise to a scalar fractional diffusion equation in the limit of a…