72 citations · 287 across the 17 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-ph2014★ 13 cited
Instantaneous exponential lower bound for solutions to the Boltzmann equation with Maxwellian diffusion boundary conditions
Marc Briant
We prove the immediate appearance of an exponential lower bound, uniform in time and space, for continuous mild solutions to the full Boltzmann equation in a convex bounded d…