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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

28 6- PDF

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

13 2- PDF

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

7 2- PDF

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

23 2- PDF

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

22 1

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

6 1

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

10 1- PDF

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

17 1- PDF

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

5 1- PDF

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

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