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- Publications
- Influence
From the Boltzmann equation to the incompressible Navier–Stokes equations on the torus: A quantitative error estimate
- M. Briant
- Mathematics, Physics
- 18 July 2012
We investigate the Boltzmann equation, depending on the Knudsen number, in the Navier-Stokes perturbative setting on the torus. Using hypocoer-civity, we derive a new proof of existence and… Expand
Instantaneous Filling of the Vacuum for the Full Boltzmann Equation in Convex Domains
- M. Briant
- Mathematics, Physics
- 7 February 2013
We prove the immediate appearance of a lower bound for mild solutions to the full Boltzmann equation in the torus or a C2 convex domain with specular boundary conditions, under the sole assumption of… Expand
From Boltzmann to incompressible Navier-Stokes in Sobolev spaces with polynomial weight
- M. Briant, S. Merino-Aceituno, C. Mouhot
- Mathematics, Physics
- 15 December 2014
We study the Boltzmann equation on the $d$-dimensional torus in a perturbative setting around a global equilibrium under the Navier-Stokes linearisation. We use a recent functional analysis… Expand
Asymptotic stability of the Boltzmann equation with Maxwell boundary conditions
Abstract In a general C 1 domain, we study the perturbative Cauchy theory for the Boltzmann equation with Maxwell boundary conditions with an accommodation coefficient α in ( 2 / 3 , 1 ] , and… Expand
Spectroscopy of calcium deposited on large argon clusters
- Marc-André Gaveau, M. Briant, +5 authors F. Spiegelman
- Materials Science
- 1 November 2002
Abstract:Spectroscopic experiments have been performed, providing emission and excitation spectra of calcium atoms trapped on argon clusters of average size 2 000. The two experimental spectra fall… Expand
Spectroscopic manifestations of
phase changes in CaArn clusters: finite
size effects
- F. Calvo, F. Spiegelman, +4 authors J. Visticot
- Materials Science, Physics
- 3 July 2003
Abstract.The finite temperature optical spectroscopy of
CaArn clusters in the range
6 ≤ n ≤ 146
is investigated using a Diatomics-In-Molecule (DIM) Hamiltonian
and classical parallel tempering Monte… Expand
Instantaneous exponential lower bound for solutions to the Boltzmann equation with Maxwellian diffusion boundary conditions
- M. Briant
- Physics, Mathematics
- 22 October 2014
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 $C^2$ convex bounded domain with the… Expand
The Boltzmann Equation for a Multi-species Mixture Close to Global Equilibrium
We study the Cauchy theory for a multi-species mixture, where the different species can have different masses, in a perturbative setting on the three dimensional torus. The ultimate aim of this work… Expand
Stability of global equilibrium for the multi-species Boltzmann equation in $L^\infty$ settings
- M. Briant
- Mathematics, Physics
- 4 March 2016
We prove the stability of global equilibrium in a multi-species mixture, where the different species can have different masses, on the $3$-dimensional torus. We establish stability estimates in… Expand
Ar2 photoelectron spectroscopy mediated by autoionizing states.
- M. Briant, L. Poisson, M. Hochlaf, P. de Pujo, Marc-André Gaveau, B. Soep
- Physics, Medicine
- Physical review letters
- 9 November 2012
This experimental work focuses on the complex autoionization dynamics of Ar(2) clusters below the first ionization energy of the argon atom. Ar(2) is submitted to vacuum ultraviolet radiation, and… Expand