Quantum energy-transport and drift-diffusion models P Degond, F Méhats, C Ringhofer Journal of statistical physics 118, 625-667, 2005 | 199 | 2005 |
Uniformly accurate numerical schemes for highly oscillatory Klein–Gordon and nonlinear Schrödinger equations P Chartier, N Crouseilles, M Lemou, F Méhats Numerische Mathematik 129, 211-250, 2015 | 88 | 2015 |
Derivation of viscous correction terms for the isothermal quantum Euler model S Brull, F Méhats ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2010 | 82 | 2010 |
Models of dark matter halos based on statistical mechanics: The fermionic King model PH Chavanis, M Lemou, F Méhats Physical Review D 92 (12), 123527, 2015 | 79 | 2015 |
Orbital stability of spherical galactic models M Lemou, F Méhats, P Raphaël Inventiones mathematicae 187, 145-194, 2012 | 79 | 2012 |
The nonlinear Schrödinger equation with a strongly anisotropic harmonic potential N Ben Abdallah, F Méhats, C Schmeiser, RM Weishäupl SIAM journal on mathematical analysis 37 (1), 189-199, 2005 | 73 | 2005 |
The orbital stability of the ground states and the singularity formation for the gravitational Vlasov Poisson system M Lemou, F Méhats, P Raphael Archive for rational mechanics and analysis 189 (3), 425-468, 2008 | 67 | 2008 |
Models of dark matter halos based on statistical mechanics: The classical King model PH Chavanis, M Lemou, F Méhats Physical Review D 91 (6), 063531, 2015 | 61 | 2015 |
Asymptotic preserving schemes for highly oscillatory Vlasov–Poisson equations N Crouseilles, M Lemou, F Méhats Journal of Computational Physics 248, 287-308, 2013 | 58 | 2013 |
Quantum hydrodynamic models derived from the entropy principle P Degond, F Méhats, C Ringhofer Contemporary Mathematics 371, 107-132, 2005 | 55 | 2005 |
A new variational approach to the stability of gravitational systems M Lemou, F Méhats, P Raphaël Communications in mathematical physics 302, 161-224, 2011 | 52 | 2011 |
Mathematical models of magnetic insulation N Ben Abdallah, P Degond, F Méhats Physics of plasmas 5 (5), 1522-1534, 1998 | 50 | 1998 |
An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes P Degond, S Gallego, F Méhats Journal of Computational Physics 221 (1), 226-249, 2007 | 48 | 2007 |
Time averaging for the strongly confined nonlinear Schrödinger equation, using almost-periodicity NB Abdallah, F Castella, F Méhats Journal of Differential Equations 245 (1), 154-200, 2008 | 46 | 2008 |
Adiabatic Approximation of the Schrödinger--Poisson System with a Partial Confinement N Ben Abdallah, F Méhats, O Pinaud SIAM journal on mathematical analysis 36 (3), 986-1013, 2005 | 46 | 2005 |
On a Vlasov–Schrödinger–Poisson model NB Abdallah, F Méhats Taylor & Francis Group 29 (1-2), 173-206, 2005 | 41 | 2005 |
Stroboscopic averaging for the nonlinear Schrödinger equation F Castella, P Chartier, F Méhats, A Murua Foundations of Computational Mathematics 15 (2), 519-559, 2015 | 39 | 2015 |
Isothermal quantum hydrodynamics: derivation, asymptotic analysis, and simulation P Degond, S Gallego, F Méhats Multiscale Modeling & Simulation 6 (1), 246-272, 2007 | 39 | 2007 |
Entropic discretization of a quantum drift-diffusion model S Gallego, F Méhats SIAM journal on numerical analysis 43 (5), 1828-1849, 2005 | 39 | 2005 |
A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations P Chartier, M Lemou, F Méhats, G Vilmart Foundations of Computational Mathematics 20, 1-33, 2020 | 35 | 2020 |