Edit Profile (opens in new tab) Méhats, Florian Co-Author Distance Author ID: mehats.florian Published as: Méhats, Florian; Méhats, F.; Mehats, Florian more...less Documents Indexed: 90 Publications since 1995, including 3 Additional arXiv Preprints Co-Authors: 55 Co-Authors with 87 Joint Publications 1,408 Co-Co-Authors all top 5 Co-Authors 3 single-authored 31 Lemou, Mohammed 17 Chartier, Philippe 14 Ben Abdallah, Naoufel 10 Degond, Pierre 9 Raphael, Pierre 8 Crouseilles, Nicolas 8 Gallego, Samy 6 Zhao, Xiaofei 5 Pinaud, Olivier 5 Ringhofer, Christian A. 4 Castella, François 4 Le Treust, Loïc 4 Zhang, Yong 3 Roquejoffre, Jean-Michel 3 Vauchelet, Nicolas 2 Bao, Weizhu 2 Barletti, Luigi 2 Besse, Christophe 2 Carles, Rémi 2 Delebecque-Fendt, Fanny 2 Luz, Ana Maria 2 Mauser, Norbert Julius 2 Negulescu, Claudia 2 Sparber, Christof 2 Thalhammer, Mechthild 2 Vilmart, Gilles 1 Almuslimani, Ibrahim 1 Ambroso, Annalisa 1 Balac, Stéphane 1 Bouchereau, Maxime 1 Bourgade, Jean-Pierre 1 Brull, Stephane 1 Cai, Yongyong 1 Carcaud, Pierre 1 Chavanis, Pierre-Henri 1 David, Marco 1 El Hajj, Raymond 1 Fermanian-Kammerer, Clotilde 1 Fernandez, Arnaud 1 Fontaine, Marine 1 Frank, Rupert L. 1 Gerard, Patrick 1 Jin, Shi 1 Mahé, Fabrice 1 Murua, Ander 1 Possanner, Stefan 1 Privat, Yannick 1 Quinio, Géraldine 1 Raviart, Pierre-Arnaud 1 Raymond, Nicolas 1 Rigault, Cyril 1 Schmeiser, Christian 1 Sigalotti, Mario 1 Texier-Picard, Rozenn 1 Weishäupl, Rada-Maria all top 5 Serials 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Computational Physics 5 SIAM Journal on Mathematical Analysis 5 Communications in Mathematical Sciences 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Multiscale Modeling & Simulation 4 Kinetic and Related Models 3 Journal of Statistical Physics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Mathematics of Computation 2 Journal of Differential Equations 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Asymptotic Analysis 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Scientific Computing 2 Foundations of Computational Mathematics 1 IMA Journal of Numerical Analysis 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Applied Numerical Mathematics 1 Journal of the American Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Discrete and Continuous Dynamical Systems 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Annales Henri Poincaré 1 Discrete and Continuous Dynamical Systems. Series B 1 Discrete and Continuous Dynamical Systems. Series S all top 5 Fields 64 Partial differential equations (35-XX) 41 Statistical mechanics, structure of matter (82-XX) 27 Numerical analysis (65-XX) 16 Fluid mechanics (76-XX) 14 Quantum theory (81-XX) 8 Astronomy and astrophysics (85-XX) 7 Ordinary differential equations (34-XX) 7 Optics, electromagnetic theory (78-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Mechanics of deformable solids (74-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 81 Publications have been cited 861 times in 476 Documents Cited by ▼ Year ▼ Quantum energy-transport and drift-diffusion models. Zbl 1126.82314 Degond, Pierre; Méhats, Florian; Ringhofer, Christian 59 2005 Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations. Zbl 1329.35277 Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian 55 2015 Derivation of viscous correction terms for the isothermal quantum Euler model. Zbl 1355.82018 Brull, S.; Méhats, F. 47 2010 Orbital stability of spherical galactic models. Zbl 1232.35170 Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre 42 2012 Asymptotic preserving schemes for highly oscillatory Vlasov-Poisson equations. Zbl 1349.82062 Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian 37 2013 The orbital stability of the ground states and the singularity formation for the gravitational Vlasov-Poisson system. Zbl 1221.35417 Lemou, Mohammed; Méhats, Florian; Raphael, Pierre 27 2008 The nonlinear Schrödinger equation with a strongly anisotropic harmonic potential. Zbl 1094.35114 Ben Abdallah, Naoufel; Méhats, Florian; Schmeiser, Christian; Weishäupl, Rada M. 23 2005 Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations. Zbl 1344.35131 Chartier, Philippe; Méhats, Florian; Thalhammer, Mechthild; Zhang, Yong 23 2016 Uniformly accurate numerical schemes for the nonlinear Dirac equation in the nonrelativistic limit regime. Zbl 1457.35047 Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei 21 2017 Stroboscopic averaging for the nonlinear Schrödinger equation. Zbl 1327.35016 Castella, F.; Chartier, Ph.; Méhats, F.; Murua, A. 21 2015 Time averaging for the strongly confined nonlinear Schrödinger equation, using almost-periodicity. Zbl 1174.35105 Ben Abdallah, Naoufel; Castella, François; Méhats, Florian 19 2008 A new variational approach to the stability of gravitational systems. Zbl 1339.35320 Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre 19 2011 Uniformly accurate particle-in-cell method for the long time solution of the two-dimensional Vlasov-Poisson equation with uniform strong magnetic field. Zbl 1380.65311 Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei 19 2017 An inverse problem in quantum statistical physics. Zbl 1201.82025 Méhats, Florian; Pinaud, Olivier 18 2010 Micro-macro schemes for kinetic equations including boundary layers. Zbl 1266.82060 Lemou, Mohammed; Méhats, Florian 17 2012 A note on the long time behavior for the drift-diffusion-Poisson system. Zbl 1056.35023 Ben Abdallah, Naoufel; Méhats, Florian; Vauchelet, Nicolas 16 2004 An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes. Zbl 1107.82401 Degond, Pierre; Gallego, Samy; Méhats, Florian 15 2007 Quantum drift-diffusion modeling of spin transport in nanostructures. Zbl 1310.82041 Barletti, Luigi; Méhats, Florian 15 2010 Stable self-similar blow up dynamics for the three dimensional relativistic gravitational Vlasov-Poisson system. Zbl 1206.82092 Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre 15 2008 Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction. Zbl 1447.65105 Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei 14 2020 Isothermal quantum hydrodynamics: derivation, asymptotic analysis, and simulation. Zbl 1135.82019 Degond, P.; Gallego, S.; Méhats, F. 13 2007 A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations. Zbl 07161200 Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Vilmart, Gilles 13 2020 Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field. Zbl 1416.65189 Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei 13 2019 On quantum hydrodynamic and quantum energy transport models. Zbl 1134.82016 Degond, Pierre; Gallego, Samy; Méhats, Florian 11 2007 Entropic discretization of a quantum drift-diffusion model. Zbl 1144.76042 Gallego, Samy; Méhats, Florian 11 2005 Adiabatic approximation of the Schrödinger-Poisson system with a partial confinement. Zbl 1074.35008 Ben Abdallah, Naoufel; Méhats, Florian; Pinaud, Olivier 11 2005 Quantum hydrodynamic models derived from the entropy principle. Zbl 1080.35152 Degond, Pierre; Méhats, Florian; Ringhofer, Christian 11 2005 A problem of moment realizability in quantum statistical physics. Zbl 1251.82010 Méhats, Florian; Pinaud, Olivier 11 2011 Uniformly accurate forward semi-Lagrangian methods for highly oscillatory Vlasov-Poisson equations. Zbl 1365.65215 Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei 11 2017 Orbital stability and singularity formation for Vlasov-Poisson systems. Zbl 1073.70012 Lemou, Mohammed; Méhats, Florian; Raphael, Pierre 10 2005 On singular perturbation problems for the nonlinear Poisson equation. Zbl 0986.34051 Ambroso, A.; Méhats, F.; Raviart, P. A. 10 2001 On a Vlasov-Schrödinger-Poisson model. Zbl 1063.35010 Ben Abdallah, Naoufel; Méhats, Florian 10 2004 Diffusive transport of partially quantized particles: existence, uniqueness and long-time behaviour. Zbl 1126.35051 Ben Abdallah, N.; Méhats, F.; Vauchelet, N. 9 2006 Solving highly-oscillatory NLS with SAM: numerical efficiency and long-time behavior. Zbl 1457.65075 Chartier, Philippe; Mauser, Norbert J.; Méhats, Florian; Zhang, Yong 9 2016 On an open transient Schrödinger-Poisson system. Zbl 1076.22017 Ben Abdallah, Naoufel; Méhats, Florian; Pinaud, Olivier 8 2005 An effective mass theorem for the bidimensional electron gas in a strong magnetic field. Zbl 1258.35169 Delebecque-Fendt, Fanny; Méhats, Florian 7 2009 Stable ground states for the relativistic gravitational Vlasov-Poisson system. Zbl 1179.35054 Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre 7 2009 Analysis of models for quantum transport of electrons in graphene layers. Zbl 1300.35112 El Hajj, Raymond; Méhats, Florian 7 2014 Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics. Zbl 1380.34087 Chartier, Philippe; Lemou, Mohammed; Méhats, Florian 7 2017 A kinetic model for the transport of electrons in a graphene layer. Zbl 1373.81432 Fermanian Kammerer, Clotilde; Méhats, Florian 7 2016 An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit. Zbl 1291.35333 Besse, Christophe; Carles, Rémi; Méhats, Florian 7 2013 Numerical approximation of a quantum drift-diffusion model. Zbl 1058.65089 Gallego, Samy; Méhats, Florian 6 2004 An asymptotic preserving scheme for the Schrödinger equation in the semiclassical limit. Zbl 1128.65064 Degond, Pierre; Gallego, Samy; Méhats, Florian 6 2007 Quantum hydrodynamic and diffusion models derived from the entropy principle. Zbl 1173.82335 Degond, Pierre; Gallego, Samy; Méhats, Florian; Ringhofer, Christian 6 2008 Dimension reduction for rotating Bose-Einstein condensates with anisotropic confinement. Zbl 1351.35186 Méhats, Florian; Sparber, Christof 6 2016 Semiclassical analysis of the Schrödinger equation with a partially confining potential. Zbl 1162.35343 Ben Abdallah, Naoufel; Méhats, Florian 5 2005 Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type. Zbl 1421.65011 Chartier, Philippe; Méhats, Florian; Thalhammer, Mechthild; Zhang, Yong 5 2017 On the controllability of quantum transport in an electronic nanostructure. Zbl 1326.37013 Méhats, Florian; Privat, Yannick; Sigalotti, Mario 5 2014 The quantum Liouville-BGK equation and the moment problem. Zbl 1433.81082 Méhats, Florian; Pinaud, Olivier 5 2017 The interaction picture method for solving the generalized nonlinear Schrödinger equation in optics. Zbl 1401.78014 Balac, Stéphane; Fernandez, Arnaud; Mahé, Fabrice; Méhats, Florian; Texier-Picard, Rozenn 5 2016 On quantum extensions to classical spherical harmonics expansion/Fokker-Planck models. Zbl 1111.82028 Bourgade, J.-P.; Degond, P.; Méhats, F.; Ringhofer, C. 4 2006 Averaging of nonlinear Schrödinger equations with strong magnetic confinement. Zbl 1387.35549 Frank, Rupert L.; Méhats, Florian; Sparber, Christof 4 2017 The strongly confined Schrödinger-Poisson system for the transport of electrons in a nanowire. Zbl 1173.35643 Ben Abdallah, Naoufel; Castella, Francois; Delebecque-Fendt, Fanny; Méhats, Florian 4 2009 Structure of the linearized gravitational Vlasov-Poisson system close to a polytropic ground state. Zbl 1156.37016 Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre 4 2008 Second order averaging for the nonlinear Schrödinger equation with strongly anisotropic potential. Zbl 1245.35100 Ben Abdallah, Naoufel; Cai, Yongyong; Castella, Francois; Méhats, Florian 4 2011 Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime. Zbl 1362.35278 Bao, Weizhu; Le Treust, Loïc; Méhats, Florian 4 2017 Nonlinear stability criteria for the HMF model. Zbl 1371.35294 Lemou, Mohammed; Luz, Ana Maria; Méhats, Florian 4 2017 Strong confinement limit for the nonlinear Schrödinger equation constrained on a curve. Zbl 1362.82060 Méhats, Florian; Raymond, Nicolas 4 2017 Analysis of a drift-diffusion-Schrödinger-Poisson model. Zbl 1032.82035 Ben Abdallah, Naoufel; Méhats, Florian; Vauchelet, Nicolas 4 2002 Convergence of a numerical scheme for a nonlinear oblique derivative boundary value problem. Zbl 1060.65100 Mehats, Florian 4 2002 Derivative-free high-order uniformly accurate schemes for highly oscillatory systems. Zbl 1500.65036 Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei 4 2022 The Schrödinger-Poisson system on the sphere. Zbl 1231.35229 Gérard, Patrick; Méhats, Florian 3 2011 Adiabatic quantum-fluid transport models. Zbl 1296.82064 Ben Abdallah, Naoufel; Méhats, Florian; Negulescu, Claudia 3 2006 A nonlinear oblique derivative boundary value problem for the heat equation. I: Basic results. Zbl 0922.35072 Mehats, Florian; Roquejoffre, Jean-Michel 3 1999 Analysis of a quantum subband model for the transport of partially confined charged particles. Zbl 1092.35092 Méhats, Florian 3 2006 Global existence of classical solutions for a Vlasov-Schrödinger-Poisson system. Zbl 1129.82032 Ben Abdallah, Naoufel; Méhats, Florian; Quinio, Géraldine 3 2006 Uniqueness of the critical mass blow up solution for the four-dimensional gravitational Vlasov-Poisson system. Zbl 1138.35090 Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre 3 2007 Uniformly accurate schemes for drift-oscillatory stochastic differential equations. Zbl 1505.65008 Almuslimani, Ibrahim; Chartier, Philippe; Lemou, Mohammed; Méhats, Florian 3 2022 Stable ground states and self-similar blow-up solutions for the gravitational Vlasov-Manev system. Zbl 1297.35239 Lemou, Mohammed; Méhats, Florian; Rigault, Cyril 3 2012 Uniformly accurate time-splitting methods for the semiclassical linear Schrödinger equation. Zbl 1431.35166 Chartier, Philippe; Le Treust, Loïc; Méhats, Florian 3 2019 A boundary matching micro/macro decomposition for kinetic equations. (Une nouvelle décomposition micro/macro adaptée au bord pour les équations cinétiques.) Zbl 1220.82102 Lemou, Mohammed; Méhats, Florian 2 2011 The Child-Langmuir asymptotics for magnetized flows. Zbl 0934.35183 Ben Abdallah, Naoufel; Degond, Pierre; Méhats, Florian 2 1999 Numerical study of a quantum-diffusive spin model for two-dimensional electron gases. Zbl 1330.82056 Barletti, Luigi; Méhats, Florian; Negulescu, Claudia; Possanner, Stefan 2 2015 Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime. Zbl 1308.35263 Bao, Weizhu; Le Treust, Loïc; Méhats, Florian 2 2015 Symplectic learning for Hamiltonian neural networks. Zbl 07766215 David, Marco; Méhats, Florian 2 2023 A nonlinear oblique derivative boundary value problem for the heat equation. II: Singular self-similar solutions. Zbl 0945.35047 Mehats, Florian; Roquejoffre, Jean-Michel 1 1999 The Child-Langmuir asymptotics applied to a bipolar diode. Zbl 0912.35148 Méhats, Florian 1 1998 A new variational approach to the stability of gravitational systems. Zbl 1170.85305 Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre 1 2009 Quantum diffusion models derived from the entropy principle. Zbl 1308.81126 Degond, P.; Gallego, Samy; Méhats, F.; Ringhofer, C. 1 2008 Highly oscillatory problems with time-dependent vanishing frequency. Zbl 1411.74046 Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Vilmart, Gilles 1 2019 A micro-macro method for a kinetic graphene model in one space dimension. Zbl 1434.82078 Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed; Méhats, Florian 1 2020 Symplectic learning for Hamiltonian neural networks. Zbl 07766215 David, Marco; Méhats, Florian 2 2023 Derivative-free high-order uniformly accurate schemes for highly oscillatory systems. Zbl 1500.65036 Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei 4 2022 Uniformly accurate schemes for drift-oscillatory stochastic differential equations. Zbl 1505.65008 Almuslimani, Ibrahim; Chartier, Philippe; Lemou, Mohammed; Méhats, Florian 3 2022 Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction. Zbl 1447.65105 Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei 14 2020 A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations. Zbl 07161200 Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Vilmart, Gilles 13 2020 A micro-macro method for a kinetic graphene model in one space dimension. Zbl 1434.82078 Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed; Méhats, Florian 1 2020 Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field. Zbl 1416.65189 Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei 13 2019 Uniformly accurate time-splitting methods for the semiclassical linear Schrödinger equation. Zbl 1431.35166 Chartier, Philippe; Le Treust, Loïc; Méhats, Florian 3 2019 Highly oscillatory problems with time-dependent vanishing frequency. Zbl 1411.74046 Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Vilmart, Gilles 1 2019 Uniformly accurate numerical schemes for the nonlinear Dirac equation in the nonrelativistic limit regime. Zbl 1457.35047 Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei 21 2017 Uniformly accurate particle-in-cell method for the long time solution of the two-dimensional Vlasov-Poisson equation with uniform strong magnetic field. Zbl 1380.65311 Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei 19 2017 Uniformly accurate forward semi-Lagrangian methods for highly oscillatory Vlasov-Poisson equations. Zbl 1365.65215 Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei 11 2017 Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics. Zbl 1380.34087 Chartier, Philippe; Lemou, Mohammed; Méhats, Florian 7 2017 Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type. Zbl 1421.65011 Chartier, Philippe; Méhats, Florian; Thalhammer, Mechthild; Zhang, Yong 5 2017 The quantum Liouville-BGK equation and the moment problem. Zbl 1433.81082 Méhats, Florian; Pinaud, Olivier 5 2017 Averaging of nonlinear Schrödinger equations with strong magnetic confinement. Zbl 1387.35549 Frank, Rupert L.; Méhats, Florian; Sparber, Christof 4 2017 Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime. Zbl 1362.35278 Bao, Weizhu; Le Treust, Loïc; Méhats, Florian 4 2017 Nonlinear stability criteria for the HMF model. Zbl 1371.35294 Lemou, Mohammed; Luz, Ana Maria; Méhats, Florian 4 2017 Strong confinement limit for the nonlinear Schrödinger equation constrained on a curve. Zbl 1362.82060 Méhats, Florian; Raymond, Nicolas 4 2017 Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations. Zbl 1344.35131 Chartier, Philippe; Méhats, Florian; Thalhammer, Mechthild; Zhang, Yong 23 2016 Solving highly-oscillatory NLS with SAM: numerical efficiency and long-time behavior. Zbl 1457.65075 Chartier, Philippe; Mauser, Norbert J.; Méhats, Florian; Zhang, Yong 9 2016 A kinetic model for the transport of electrons in a graphene layer. Zbl 1373.81432 Fermanian Kammerer, Clotilde; Méhats, Florian 7 2016 Dimension reduction for rotating Bose-Einstein condensates with anisotropic confinement. Zbl 1351.35186 Méhats, Florian; Sparber, Christof 6 2016 The interaction picture method for solving the generalized nonlinear Schrödinger equation in optics. Zbl 1401.78014 Balac, Stéphane; Fernandez, Arnaud; Mahé, Fabrice; Méhats, Florian; Texier-Picard, Rozenn 5 2016 Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations. Zbl 1329.35277 Chartier, Philippe; Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian 55 2015 Stroboscopic averaging for the nonlinear Schrödinger equation. Zbl 1327.35016 Castella, F.; Chartier, Ph.; Méhats, F.; Murua, A. 21 2015 Numerical study of a quantum-diffusive spin model for two-dimensional electron gases. Zbl 1330.82056 Barletti, Luigi; Méhats, Florian; Negulescu, Claudia; Possanner, Stefan 2 2015 Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime. Zbl 1308.35263 Bao, Weizhu; Le Treust, Loïc; Méhats, Florian 2 2015 Analysis of models for quantum transport of electrons in graphene layers. Zbl 1300.35112 El Hajj, Raymond; Méhats, Florian 7 2014 On the controllability of quantum transport in an electronic nanostructure. Zbl 1326.37013 Méhats, Florian; Privat, Yannick; Sigalotti, Mario 5 2014 Asymptotic preserving schemes for highly oscillatory Vlasov-Poisson equations. Zbl 1349.82062 Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian 37 2013 An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit. Zbl 1291.35333 Besse, Christophe; Carles, Rémi; Méhats, Florian 7 2013 Orbital stability of spherical galactic models. Zbl 1232.35170 Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre 42 2012 Micro-macro schemes for kinetic equations including boundary layers. Zbl 1266.82060 Lemou, Mohammed; Méhats, Florian 17 2012 Stable ground states and self-similar blow-up solutions for the gravitational Vlasov-Manev system. Zbl 1297.35239 Lemou, Mohammed; Méhats, Florian; Rigault, Cyril 3 2012 A new variational approach to the stability of gravitational systems. Zbl 1339.35320 Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre 19 2011 A problem of moment realizability in quantum statistical physics. Zbl 1251.82010 Méhats, Florian; Pinaud, Olivier 11 2011 Second order averaging for the nonlinear Schrödinger equation with strongly anisotropic potential. Zbl 1245.35100 Ben Abdallah, Naoufel; Cai, Yongyong; Castella, Francois; Méhats, Florian 4 2011 The Schrödinger-Poisson system on the sphere. Zbl 1231.35229 Gérard, Patrick; Méhats, Florian 3 2011 A boundary matching micro/macro decomposition for kinetic equations. (Une nouvelle décomposition micro/macro adaptée au bord pour les équations cinétiques.) Zbl 1220.82102 Lemou, Mohammed; Méhats, Florian 2 2011 Derivation of viscous correction terms for the isothermal quantum Euler model. Zbl 1355.82018 Brull, S.; Méhats, F. 47 2010 An inverse problem in quantum statistical physics. Zbl 1201.82025 Méhats, Florian; Pinaud, Olivier 18 2010 Quantum drift-diffusion modeling of spin transport in nanostructures. Zbl 1310.82041 Barletti, Luigi; Méhats, Florian 15 2010 An effective mass theorem for the bidimensional electron gas in a strong magnetic field. Zbl 1258.35169 Delebecque-Fendt, Fanny; Méhats, Florian 7 2009 Stable ground states for the relativistic gravitational Vlasov-Poisson system. Zbl 1179.35054 Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre 7 2009 The strongly confined Schrödinger-Poisson system for the transport of electrons in a nanowire. Zbl 1173.35643 Ben Abdallah, Naoufel; Castella, Francois; Delebecque-Fendt, Fanny; Méhats, Florian 4 2009 A new variational approach to the stability of gravitational systems. Zbl 1170.85305 Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre 1 2009 The orbital stability of the ground states and the singularity formation for the gravitational Vlasov-Poisson system. Zbl 1221.35417 Lemou, Mohammed; Méhats, Florian; Raphael, Pierre 27 2008 Time averaging for the strongly confined nonlinear Schrödinger equation, using almost-periodicity. Zbl 1174.35105 Ben Abdallah, Naoufel; Castella, François; Méhats, Florian 19 2008 Stable self-similar blow up dynamics for the three dimensional relativistic gravitational Vlasov-Poisson system. Zbl 1206.82092 Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre 15 2008 Quantum hydrodynamic and diffusion models derived from the entropy principle. Zbl 1173.82335 Degond, Pierre; Gallego, Samy; Méhats, Florian; Ringhofer, Christian 6 2008 Structure of the linearized gravitational Vlasov-Poisson system close to a polytropic ground state. Zbl 1156.37016 Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre 4 2008 Quantum diffusion models derived from the entropy principle. Zbl 1308.81126 Degond, P.; Gallego, Samy; Méhats, F.; Ringhofer, C. 1 2008 An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes. Zbl 1107.82401 Degond, Pierre; Gallego, Samy; Méhats, Florian 15 2007 Isothermal quantum hydrodynamics: derivation, asymptotic analysis, and simulation. Zbl 1135.82019 Degond, P.; Gallego, S.; Méhats, F. 13 2007 On quantum hydrodynamic and quantum energy transport models. Zbl 1134.82016 Degond, Pierre; Gallego, Samy; Méhats, Florian 11 2007 An asymptotic preserving scheme for the Schrödinger equation in the semiclassical limit. Zbl 1128.65064 Degond, Pierre; Gallego, Samy; Méhats, Florian 6 2007 Uniqueness of the critical mass blow up solution for the four-dimensional gravitational Vlasov-Poisson system. Zbl 1138.35090 Lemou, Mohammed; Méhats, Florian; Raphaël, Pierre 3 2007 Diffusive transport of partially quantized particles: existence, uniqueness and long-time behaviour. Zbl 1126.35051 Ben Abdallah, N.; Méhats, F.; Vauchelet, N. 9 2006 On quantum extensions to classical spherical harmonics expansion/Fokker-Planck models. Zbl 1111.82028 Bourgade, J.-P.; Degond, P.; Méhats, F.; Ringhofer, C. 4 2006 Adiabatic quantum-fluid transport models. Zbl 1296.82064 Ben Abdallah, Naoufel; Méhats, Florian; Negulescu, Claudia 3 2006 Analysis of a quantum subband model for the transport of partially confined charged particles. Zbl 1092.35092 Méhats, Florian 3 2006 Global existence of classical solutions for a Vlasov-Schrödinger-Poisson system. Zbl 1129.82032 Ben Abdallah, Naoufel; Méhats, Florian; Quinio, Géraldine 3 2006 Quantum energy-transport and drift-diffusion models. Zbl 1126.82314 Degond, Pierre; Méhats, Florian; Ringhofer, Christian 59 2005 The nonlinear Schrödinger equation with a strongly anisotropic harmonic potential. Zbl 1094.35114 Ben Abdallah, Naoufel; Méhats, Florian; Schmeiser, Christian; Weishäupl, Rada M. 23 2005 Entropic discretization of a quantum drift-diffusion model. Zbl 1144.76042 Gallego, Samy; Méhats, Florian 11 2005 Adiabatic approximation of the Schrödinger-Poisson system with a partial confinement. Zbl 1074.35008 Ben Abdallah, Naoufel; Méhats, Florian; Pinaud, Olivier 11 2005 Quantum hydrodynamic models derived from the entropy principle. Zbl 1080.35152 Degond, Pierre; Méhats, Florian; Ringhofer, Christian 11 2005 Orbital stability and singularity formation for Vlasov-Poisson systems. Zbl 1073.70012 Lemou, Mohammed; Méhats, Florian; Raphael, Pierre 10 2005 On an open transient Schrödinger-Poisson system. Zbl 1076.22017 Ben Abdallah, Naoufel; Méhats, Florian; Pinaud, Olivier 8 2005 Semiclassical analysis of the Schrödinger equation with a partially confining potential. Zbl 1162.35343 Ben Abdallah, Naoufel; Méhats, Florian 5 2005 A note on the long time behavior for the drift-diffusion-Poisson system. Zbl 1056.35023 Ben Abdallah, Naoufel; Méhats, Florian; Vauchelet, Nicolas 16 2004 On a Vlasov-Schrödinger-Poisson model. Zbl 1063.35010 Ben Abdallah, Naoufel; Méhats, Florian 10 2004 Numerical approximation of a quantum drift-diffusion model. Zbl 1058.65089 Gallego, Samy; Méhats, Florian 6 2004 Analysis of a drift-diffusion-Schrödinger-Poisson model. Zbl 1032.82035 Ben Abdallah, Naoufel; Méhats, Florian; Vauchelet, Nicolas 4 2002 Convergence of a numerical scheme for a nonlinear oblique derivative boundary value problem. Zbl 1060.65100 Mehats, Florian 4 2002 On singular perturbation problems for the nonlinear Poisson equation. Zbl 0986.34051 Ambroso, A.; Méhats, F.; Raviart, P. A. 10 2001 A nonlinear oblique derivative boundary value problem for the heat equation. I: Basic results. Zbl 0922.35072 Mehats, Florian; Roquejoffre, Jean-Michel 3 1999 The Child-Langmuir asymptotics for magnetized flows. Zbl 0934.35183 Ben Abdallah, Naoufel; Degond, Pierre; Méhats, Florian 2 1999 A nonlinear oblique derivative boundary value problem for the heat equation. II: Singular self-similar solutions. Zbl 0945.35047 Mehats, Florian; Roquejoffre, Jean-Michel 1 1999 The Child-Langmuir asymptotics applied to a bipolar diode. Zbl 0912.35148 Méhats, Florian 1 1998 all cited Publications top 5 cited Publications all top 5 Cited by 536 Authors 41 Méhats, Florian 28 Lemou, Mohammed 18 Zhao, Xiaofei 17 Jüngel, Ansgar 15 Bao, Weizhu 15 Crouseilles, Nicolas 14 Chartier, Philippe 13 Cai, Yongyong 12 Rein, Gerhard 11 Pinaud, Olivier 10 Barletti, Luigi 10 Raphael, Pierre 10 Schratz, Katharina 9 Chen, Li 9 Zhao, Jihong 8 Antonelli, Paolo 8 Carles, Rémi 7 Chen, Xiuqing 7 Feng, Yue 7 Filbet, Francis 7 Su, Chunmei 6 Cui, Shangbin 6 Duboscq, Romain 6 Li, Jiyong 6 Romano, Vittorio 6 Wang, Yan 5 Degond, Pierre 5 Frosali, Giovanni 5 Hadzic, Mahir 5 Lacroix-Violet, Ingrid 5 Morandi, Omar 5 Wang, Bin 5 Wang, Bin 5 Yang, Jianwei 5 Zhang, Yong 4 Baumstark, Simon 4 Ben Abdallah, Naoufel 4 Besse, Christophe 4 Bradji, Abdallah 4 Bukal, Mario 4 Dimarco, Giacomo 4 Dolbeault, Jean 4 Dreher, Michael 4 Fermanian-Kammerer, Clotilde 4 Gisclon, Marguerite 4 Jiang, Yaolin 4 Jin, Shi 4 Jourdana, Clément 4 Ju, Qiangchang 4 Rodrigues, Luis Miguel 4 Sparber, Christof 4 Spirito, Stefano 4 Suzuki, Masahiro 4 Tang, Qinglin 4 Vauchelet, Nicolas 4 Yin, Jia 4 Young, Brent 3 Antoine, Xavier 3 Bedrossian, Jacob 3 Boßmann, Lea 3 Cáceres, María-José 3 Camiola, Vito Dario 3 Deng, Chao 3 Després, Bruno 3 Germain, Pierre 3 Hientzsch, Lars Eric 3 Hirstoaga, Sever A. 3 Hivert, Hélène 3 Holzinger, Philipp 3 Jahnke, Tobias 3 Jang, Juhi 3 Jian, Huai-Yu 3 Koch, Othmar 3 Lasser, Caroline 3 Li, Fucai 3 Li, Ting 3 Liu, Qiao 3 Marcati, Pierangelo 3 Mascali, Giovanni 3 Matthes, Daniel 3 Milišić, Josipa Pina 3 Pausader, Benoît 3 Pietra, Paola 3 Seok, Jinmyoung 3 Smulevici, Jacques 3 Tang, Tong 3 Thomann, Laurent 3 Vilmart, Gilles 3 Wang, Tingchun 3 Widmayer, Klaus 3 Wu, Qiwei 3 Yi, Wenfan 2 Andréasson, Håkan 2 Arbunich, Jack 2 Arnold, Anton 2 Athanassoulis, Agisillaos 2 Auzinger, Winfried 2 Bostan, Mihai 2 Bréhier, Charles-Edouard 2 Bresch, Didier ...and 436 more Authors all top 5 Cited in 120 Serials 38 Journal of Computational Physics 24 Journal of Mathematical Physics 18 Archive for Rational Mechanics and Analysis 17 Communications in Mathematical Physics 16 Kinetic and Related Models 13 SIAM Journal on Numerical Analysis 13 SIAM Journal on Mathematical Analysis 12 Journal of Mathematical Analysis and Applications 11 Numerische Mathematik 11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 10 Journal of Statistical Physics 10 Annales Henri Poincaré 9 BIT 9 Journal of Differential Equations 8 Mathematics of Computation 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Applied Numerical Mathematics 8 Journal of Scientific Computing 8 Multiscale Modeling & Simulation 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Numerical Methods for Partial Differential Equations 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Nonlinear Analysis. 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(English Edition) 2 Communications in Computational Physics 2 Analysis & PDE 2 Nanoscale Systems: Mathematical Modeling, Theory and Applications 2 Annals of PDE 2 Journal de l’École Polytechnique – Mathématiques 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Theoretical Physics 1 Letters in Mathematical Physics 1 Physica A 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Applied Mathematics and Optimization 1 Calcolo 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. 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English Series ...and 20 more Serials all top 5 Cited in 36 Fields 378 Partial differential equations (35-XX) 185 Numerical analysis (65-XX) 163 Statistical mechanics, structure of matter (82-XX) 105 Fluid mechanics (76-XX) 90 Quantum theory (81-XX) 31 Optics, electromagnetic theory (78-XX) 26 Astronomy and astrophysics (85-XX) 19 Ordinary differential equations (34-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Relativity and gravitational theory (83-XX) 13 Probability theory and stochastic processes (60-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 12 Mechanics of deformable solids (74-XX) 11 Mechanics of particles and systems (70-XX) 8 Operator theory (47-XX) 6 Integral equations (45-XX) 6 Functional analysis (46-XX) 6 Systems theory; control (93-XX) 4 Approximations and expansions (41-XX) 4 Biology and other natural sciences (92-XX) 3 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year