Curriculum Vitae Benoît MERLET Born December 1 st, 1975 in La Rochelle (17), France French citizen Single, one daughter tél: +33 1 69 33 45 94 fax: +33 1 69 33 46 46 e-mail : merlet@cmap.polytechnique.fr École Polytechnique CMAP Route de Saclay, 91128 Palaiseau Cedex, France. Research interests Numerical Analysis, Numerical simulation of PDE s, in particular, Convergence of the Finite Volume schemes, Domain decomposition methods, Stokes equations, Discrete Gradient Flows. Calculus of Variations, Micromagnetism, Elasticity. Academic positions 2009 - Professeur Chargé de Cours, CMAP, École Polytechnique. 2005-2009 Maître de Conférences, LAGA, Université Paris Nord, Mathematics. 2004-2005 ATER at ENS de Cachan, Antenne de Bretagne. 2001-2004 Doctorant (A.M.N.) Université de Paris XI - Orsay. 2000-2001 dea Équations aux Dérivées partielles et Calcul Scientifique (mention B) 1999-2000 Agrégation de Mathématiques, (rank 81), 1996-2001 Student at École Normale Supérieure de Cachan. PhD. Thesis Sur Quelques Équations aux Dérivées Partielles et leur Analyse Numérique. Adviser: Pr. François Alouges. Defended, Novembre 20, 2004 in Orsay, Université Paris-Sud (France). Jury: Guy Métivier et Patrick Ciarlet (reviewers), Monique Dauge, Guy David, Philippe G. LeFloch. 1
Teaching 2009 - École Polytechnique. Numerical Analysis and Optimisation, Mathematical modelling. 2005-2009 Engineer school of Université Paris 13 (ISPG). Numerical analysis, applied mathematics for engineers. 2004-2005 ENS de Cachan, antenne de Bretagne. Analysis and Numerical analysis for undergraduate students. 2001-2004 University Paris 11, Orsay. Calculus. Scientific Duties and Activities Member of the organizing committee of CANUM 2008 (Numerical Analysis french annual congress, Saint Jean de Monts). Co-organizer of the weekly seminar of applied analysis LAGA, 2006-2008. Co-organizer of the seminar of the CMAP 2009- Co-organizer of "journées de formation Homogénéisation (Calais, 7-8 September 2009). Member of the organizing committee of PICOF 2012 (Inverse Problems and Shape Optimization Congress, École Polytechnique). Member of selecting committees (Université Paris 13, Université de Poitiers). Reviewer for several applied mathematic journals. Member of ANR COMMA (Domain Decomposition Methods). Member of ANR Micro-MANIP (Micromagnetism). Member of ANR Geometrya (Geometric Measure Theory). Supervised students NGUYEN Thanh Nhan. Internship (spring 2010). 100%. TUAN Mai Xuan, Internship (spring 2011). 100%. NGUYEN Thanh Nhan. PhD Thesis (2010-2013). 90%.
Publications Peer reviewed articles 1. F. Alouges, A. DeSimone, L. Heltai, A. Lefebvre, B.M. Optimally swimming stokesian robots. DCDS B, 18 (2013) no.5, 1189-1215. 2. B.M., T.N. Nguyen. Convergence to equilibrium for discretizations of gradient-like flows on Riemannian manifolds. Differential Integral Equations 26 (2013) no. 5-6, 571-602. 3. F. Alouges, A. Augier, B. Graille, B.M. Homogenization of a coupled problem for sound propagation in porous media. Adv. Differential Equations 17 (2012), no. 11-12, 1001Ð1030. 4. R. Ignat, B.M. Entropy method for line-energies. accepted to Calc. Var. Partial Differential Equations. 5. R. Ignat, B.M. Lower bound for the energy of Bloch walls in micromagnetics. Arch. Ration. Mech. Anal. 199 (2011), no. 2, 369 406. 6. E. Audusse, P. Dreyfuss, B.M. Optimized Schwarz waveform relaxation for the primitive equations of the ocean. SIAM J. Sci. Comput. 32 (2010), no. 5, 2908 2936. 7. B. M., M. Pierre. Convergence to equilibrium for the Euler backward scheme and applications, CPAA, 9 (2010), no. 3, 685 702. 8. B.M. L and L 2 -Error Estimates for a Finite Volume Approximation of Linear Advection, SINUM. 46 (2008), no. 1, 124 150. 9. B. M., J. Vovelle. Error estimate for a finite volume scheme, Numer. Math. 106 (2007), no. 1, 129 155. 10. B.M. Numerical study of the existence of a new minimizer for the Mumford-Shah functional in R 3, ESAIM Control Optim Calc. Var. 13 (2007) no. 3, 553 569. 11. B. M., L. Paumond. An Initial-and-Boundary Value Problem for the KP-II equation on a strip and on the half plane, Differential Integral Equations 18, (2005). no. 7, 813 839. 12. B. M.t, M. Pierre. Moving mesh for the axisymmetric harmonic map flow, M2AN Math. Model. Numer. Anal. 39 (2005), no. 4, 781 796. 13. F. Alouges, B.M. Approximate Shock Curves for non-conservative hyperbolic systems in one space dimension, Journal of Hyperbolic Differential Equations, Vol. 1, No. 4 769-788.(2004). Notes, Congress articles 1. A. Lefebvre-Lepot, B.M. A Stokesian submarine. ESAIM Proceeding. (CEM- RACS 2008).
2. L. Boudin, B. Boutin, B. Fornet, T. Goudon, P. Lafitte, F. Lagoutière and B.M. Fluid-Particles Flows: A Thin Spray Model with Energy Exchanges. ESAIM Proceeding. (CEMRACS 2008). 3. B.M. Two remarks on liftings of maps with values into S 1, C. R. Math. Acad. Sci. Paris 343 (2006), no. 7, 467 472. Submitted articles 1. B. M A highly anisotropic nonlinear elasticity model for vesicles. I: Eulerian formulation, rigidity estimates and vanishing energy limit, 23 pages (2013) 2. B. M A highly anisotropic nonlinear elasticity model for vesicles. II: Derivation of the thin bilayer bending theory, 60 pages (2013) 3. F. Alouges, G. Di Fratta, B.M. Liouville type results for local minimizers of the micromagnetic energy, 30 pages (2013).
Communications International congresses 9 July 2013 Mini-Symposium Geometric Methods for PDEs: Sub-Riemannian Geometry. SIAM Conference on Control and Its Applications. San Diego, California. 31 May 2013 Mini-Symposium. Fonctionnelles Géométrique d ordre 2. Congrés SMAI. Seignosse. 23 May 2012 Congrés SMAI 2012. Superbesse. Puy-de-Dôme. 28 August 2010 10 th Colloque Franco-Roumain. Poitiers. 20 August 2009 Minisymposium : Conference on Domain Decomposition Methods, Zhang Jia Jie, Chine. October 2003 International workshop on Complex Flow Simulation for Industry. Cargèse. Seminars and Workshops 6 June 2013 Workshop ANR Micro. Manip. Grenoble. 23 April 2013 Séminaire de mathématique appliquées, CMAP, Ecole Polytechnique. 8 April 2013 Groupe de dtravail Calcul des Variations du Laboratoire Jacques-Louis Lions. Paris 6. 17 December 2012 Groupe de travail Calcul des variations. Université Paris Sud. Orsay. 12 October 2012 Workshop. ANR Geometrya. Université Lyon 1. 21 September 2011 Groupe de travail Calcul des variations. CMAP. October 2010 Séminaire A 3 du LAMFA, Amiens. 12 January 2010 Séminaire de mathématique appliquées, CMAP, Ecole Polytechnique. 27 November 2009 Séminaire d analyse appliquée, LAGA, Université Paris 13. 28 May 2009 Exposé au congrès Variational analysis and applications at Erice, Italie. Lower bound for the energy of Bloch walls in micromagnetics. 21 May 2009 Séminaire EDP et Analyse numérique du laboratoire de mathématique d Orsay. 8 November 2008 Workshop "Méthodes variationnelles en micromagnétisme", Université de Cluj, Roumanie. 24 January 2008 Séminaire d analyse numérique du Laboratoire Paul Painlevé, Lille. 28 June 2007 Séminaire de l institut de Mathématiques appliquées de Bonn. 13 November 2006 LAMFA. Amiens. 14 November 2006 LATP. Marseille. 1 November 2005 Exposé au séminaire du CMLA, ENS de Cachan. 1 April 2005 Exposé au séminaire de l équipe Analyse Appliquée, Univ. Paris 13. 24 March 2005 Séminaire EDP du LMAM, Univ. Metz. 18 March 2005 Exposé au GDR EAPQ, Univ. Franche-Comté, Besançon. 8 February 2005 Séminaire Equations aux dérivées partielles de l IRMA, Univ. L. Pasteur, Strasbourg. 3 February 2005 Séminaire de l équipe Analyse Numérique et EDP, laboratoire Paul Painlevé, Lille. Décember 2004 Séminaire d Analyse Numérique de l IRMAR, Univ. Rennes 1. October 2004 Groupe de Travail du Lab. de Math. de l ENS Cachan, Antenne de Bretagne. June 2004 Exposé au CANUM 2004. May 2003 Groupe de Travail d Analyse Numérique, Dpt de Mathématique de l Univ. Paris XI, Orsay.