1. Recherche
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hal-00378559v1  Article dans une revue
Naoufel Ben Abdallah, Florian Méhats, Olivier Pinaud. Adiabatic approximation of the Schrödinger-Poisson system with a partial confinement
SIAM Journal on Mathematical Analysis / SIAM Journal of Mathematical Analysis, springer, 2005, 36 (3), pp.986-1013. <10.1137/S0036141003437915>
hal-00850513v1  Article dans une revue
Philippe Chartier, Norbert J. Mauser, Florian Méhats, Yong Zhang. Solving highly-oscillatory NLS with SAM: numerical efficiency and geometric properties
Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2016, 9 (5), pp.1327-1349. <10.3934/dcdss.2016053>
hal-00536166v1  Article dans une revue
Pierre Carcaud, Pierre-Henri Chavanis, Mohammed Lemou, Florian Méhats. Evaporation law in kinetic gravitational systems described by simplified landau models
Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2010, 14 (3), pp.907-934. <10.3934/dcdsb.2010.14.907>
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hal-01313976v2  Article dans une revue
Mohammed Lemou, Florian Méhats, Xiaofei Zhao. Uniformly accurate numerical schemes for the nonlinear dirac equation in the nonrelativistic limit regime
Communications in Mathematical Sciences, International Press, 2017, 15 (4), pp.1107-1128. <10.4310/CMS.2017.v15.n4.a9>
hal-01255137v1  Article dans une revue
Florian Méhats, Olivier Pinaud. The quantum Liouville-BGK equation and the moment problem
Journal of Differential Equations, Elsevier, 2017, <10.1016/j.jde.2017.05.004>
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hal-00020907v1  Article dans une revue
Pierre Degond, Samy Gallego, Florian Méhats. An entropic Quantum Drift-Diffusion model for electron transport in resonant tunneling diodes
Journal of Computational Physics, Elsevier, 2007, 221 (1), pp.226-249. <10.1016/j.jcp.2006.06.027>
hal-00743077v1  Article dans une revue
Nicolas Crouseilles, Mohammed Lemou, Florian Méhats. Asymptotic preserving schemes for highly oscillatory kinetic equation
Journal of Computational Physics, Elsevier, 2013, 248, pp.287-308
hal-00359789v1  Article dans une revue
Mohammed Lemou, Florian Méhats, Pierre Raphael. Stable self-similar blow up dynamics for the three dimensional relativistic gravitational Vlasov-Poisson system
Journal of the American Mathematical Society, American Mathematical Society, 2008, 21 (4), pp.1019-1063
hal-00378549v1  Article dans une revue
Pierre Degond, Florian Méhats, Christian Ringhofer. Quantum Energy-Transport and Drift-Diffusion models
Journal of Statistical Physics, Springer Verlag, 2005, 118 (3-4), pp.625-665. <10.1007/s10955-004-8823-3>
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hal-01160791v2  Pré-publication, Document de travail
Clotilde Fermanian Kammerer, Florian Méhats. A kinetic model for the transport of electrons in a graphen layer
2015
hal-00378564v1  Article dans une revue
Naoufel Ben Abdallah, Florian Méhats, Christian Schmeiser, Rada Weishaupl. The nonlinear Schrödinger equation with strong anisotropic harmonic potential
SIAM Journal on Mathematical Analysis / SIAM Journal of Mathematical Analysis, springer, 2005, 37 (1), pp.189-199. <10.1137/040614554>
hal-00378541v1  Article dans une revue
Naoufel Ben Abdallah, Florian Méhats, Géraldine Quinio. Global existence of classical solutions for a Vlasov-Schrödinger-Poisson system
Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2006, 55 (4), pp.1423-1448. <10.1512/iumj.2006.55.2659>
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hal-00505327v1  Article dans une revue
Mohammed Lemou, Florian Méhats, Pierre Raphael. Orbital stability of spherical galactic models
Inventiones Mathematicae, Springer Verlag, 2012, 187 (1), pp.145-194. <10.1007/s00222-011-0332-9>
hal-00378930v1  Article dans une revue
Naoufel Ben Abdallah, Florian Méhats. Semiclassical Analysis of the Schrödinger equation with a partially confining potential
Journal de Mathématiques Pures et Appliquées, Elsevier, 2005, 84, pp.580-614. <10.1016/j.matpur.2004.10.004>
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hal-01016708v1  Article dans une revue
Stéphane Brull, Florian Méhats. Derivation of viscous correction terms for the isothermal quantum Euler model.
ZAMM, Wiley-VCH Verlag, 2010, 90 (3), pp.219-230
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hal-00531405v1  Article dans une revue
Patrick Gérard, Florian Méhats. The Schrödinger-Poisson system on the sphere
SIAM Journal on Mathematical Analysis / SIAM Journal of Mathematical Analysis, springer, 2011, 43 (3), pp.1232-1268
hal-00923631v1  Communication dans un congrès
Florian Méhats, Yannick Privat, Mario Sigalotti. Shape dependent controllability of a quantum transistor
IEEE Conference on Decision and Control, 2013, Florence, Italy. pp.1253-1258, 2013
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hal-00752011v1  Article dans une revue
Christophe Besse, Rémi Carles, Florian Méhats. An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2013, 11 (4), pp.1228-1260. <10.1137/120899017>
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hal-00956714v1  Pré-publication, Document de travail
Philippe Chartier, Florian Méhats, Mechthild Thalhammer, Yong Zhang. Superconvergence of Strang splitting for NLS in $T^d$
2014
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hal-01140880v2  Pré-publication, Document de travail
Philippe Chartier, Loïc Le Treust, Florian Méhats. Uniformly accurate time-splitting methods for the semiclassical Schrödinger equation Part 1 : Construction of the schemes and simulations
2015
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hal-01418976v1  Pré-publication, Document de travail
Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao. Uniformly accurate Particle-In-Cell method for the long time two-dimensional Vlasov-Poisson equation with strong magnetic field
2016
hal-00364875v1  Article dans une revue
Pierre Degond, Samy Gallego, Florian Méhats. Isothermal quantum hydrodynamics: Derivation, asymptotic analysis, and simulation
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2007, 6 (1), pp.246-272. <10.1137/06067153X>
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hal-01257753v1  Pré-publication, Document de travail
Philippe Chartier, Loïc Le Treust, Florian Méhats. Uniformly accurate time-splitting methods for the semiclassical Schrödinger equation Part 2 : Numerical analysis of the linear case
2016-06. 2016
hal-00378453v1  Article dans une revue
Naoufel Ben Abdallah, Florian Méhats, Claudia Negulescu. Adiabatic quantum fluid transport models
Communications in Mathematical Sciences, International Press, 2006, 4 (3), pp.621-650
hal-00368759v1  Article dans une revue
Pierre Degond, Samy Gallego, Florian Méhats. On quantum hydrodynamic and quantum energy transport models
Communications in Mathematical Sciences, International Press, 2007, 5 (4), pp.887-908
hal-00368938v1  Article dans une revue
Pierre Degond, Samy Gallego, Florian Méhats. An asymptotic preserving scheme for the Schrödinger equation in the semiclassical limit
Comptes-Rendus de l'Académie des Sciences, Série 1, Mathématiques, Elsevier, 2007, 345 (9), pp.531--536
hal-00366178v1  Chapitre d'ouvrage
Pierre Degond, Samy Gallego, Florian Méhats, Christian Ringhofer. Quantum hydrodynamic and diffusion models derived from the entropy principle
Ben Abdallah, Naoufel, Frosali, Giovanni. Quantum transport: modelling, analysis and asymptotics, Springer, pp.111-168, 2008, Lecture notes in mathematics n° 1946
hal-00365689v1  Article dans une revue
Mohammed Lemou, Florian Méhats, Pierre Raphael. Structure of the linearized gravitional Vlasov-Poisson system close to a polytropic ground state
SIAM Journal on Mathematical Analysis / SIAM Journal of Mathematical Analysis, springer, 2008, 39 (6), pp.1711-1739. <10.1137/060673709>

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