Etienne Bernard

CERMICS – ENPC
6 et 8 avenue Blaise Pascal
Cité Descartes – Champs sur Marne
77455 MARNE LA VALLÉE

E-mail : etienne[.]bernard[@]enpc[.]fr (remove brackets, of course)
I am a researcher within the team “Modeling, Analysis and Simulation” of CERMICS at École des Ponts ParisTech.

My CV

I defended my PhD thesis on 11st February 2011 (manuscript). Title: Homogénéisation de modèles cinétiques dans des espaces de phase étendus. (Homogeneization of kinetic models in extended phase spaces) PhD supervisors: Claude Bardos and François Golse.


Research interests: Partial Differential Equations,

 

Teaching: tutoring in functional analysis at École des Ponts ParisTech and in algebra and statistics at École nationale supérieure des sciences géographiques.


Publications:

Bernard Etienne, Fathi Max, Levitt Antoine et Stoltz Gabriel, Hypocoercivity with Schur complements, submitted (preprint).

       Bernard Etienne et Gabriel Pierre. Asynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rate, J. Evol. Equ., 20, 375-401 (2020) (article, preprint)

     Bernard Etienne, Doumic Marie, et Gabriel Pierre : Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts, Kinetic and Related Models, 12 (3), 551-571, 2019, (article, preprint)

         Bernard Etienne, Desvillettes Laurent, Golse François, et Ricci Valeria : A Derivation of the Vlasov-Stokes Model for Aerosol Flows from Kinetic Theory, Kinetic and Related Models, 2018, 11 (1) : 43-69. (article, preprint)

              Bernard Etienne, Desvillettes Laurent, Golse François, et Ricci Valeria : A Derivation of the Vlasov-Navier-Stokes Model for Aerosol Flows from Kinetic Theory, Communications in Mathematical Sciences, 15 (2017), 1703-1741. (articlepreprint)

           Bernard Etienne et Gabriel Pierre : Asymptotic behavior of the growth-fragmentation equation with bounded fragmentation rate; Journal of Functional Analysis, Vol.272, No.8 (2017), p.3455-3485. (articlepreprint)

 Bardos, Claude; Bernard, Etienne; Golse, François; Sentis, Rémi :The diffusion approximation for the linear Boltzmann equation with vanishing scattering coefficient; Communications in Mathematical Sciences, Vol. 13, no. 3 (2015). (articlepreprint)

        Bernard, Etienne; Salvarani, Francesco : Optimal estimate of the spectral gap for the degenerate Goldstein-Taylor model, J. Stat. Phys., 153, 2 (2013) 363-375 (article, preprint)

     Bernard, Etienne; Salvarani, Francesco, On the exponential decay to equilibrium of the degenerate linear Boltzmann equation, J. Funct. Anal. 265, 9 (2013), 1934-1954

    Bernard, Etienne; Salvarani, Francesco : On the convergence to equilibrium for degenerate transport problems, Arch. Rational Mech. Anal. 208, 3, (2013) 977-984

        Coulot D., E. Bernard, X. Collilieux, Influence of station referencing on the quality of EOP time series, Journées 2010 “Systèmes de Référence Spatio-temporels”, page 163, Observatoire de Paris, (2011)

        Bernard, Etienne; Caglioti Emmanuele, Golse, François : Homogenization of the linear Boltzmann equation in a domain with a periodic distribution of holes SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2010, 42, (5), pp. 2082-2113.

        Bernard, Etienne; Golse, François, Salvarani Francesco : Homogenization of transport problems and semigroups, Mathematical Methods in the Applied Sciences, Vol 33, number 10, pp. 1228-1234 (2010)

        Bernard, Etienne; Del Pino Stéphane, Deriaz Erwan, Desprès Bruno, Jurkova Katerina, Lagoutière Frédéric : Lagrangian method enhanced with edge swapping for the free fail and contact problem. ESAIM: Proc., 2008, Vol. 24, pp. 46-59