T. Goudon, S. Rota Nodari, Plane wave stability analysis of Hartree and quantum dissipative systems limit, Nonlinearity vol. 36(12) (2023), (arXiv).
J. Lampart, L. Le Treust, S. Rota Nodari, J. Sabin, The Dirac-Klein-Gordon system in the strong coupling limit, Annales Henri Lebesgue vol. 6, (2023), pp. 541-573 doi: 10.5802/ahl.171 (arXiv).
G. Dujardin, A. Armaroli, S. Rota Nodari, A. Mussot, A. Kudlinski, S. Trillo, M. Conforti, S. De Bièvre, Modulational instability in optical fibers with randomly-kicked normal dispersion, Phys. Rev. A 103,(2021), 053521, doi: 10.1103/PhysRevA.103.053521
(arXiv).
C. Klein, S. Rota Nodari, On a nonlinear Schrödinger equation for nucleons in one space dimension, ESAIM: M2AN vol. 55(2), (2021), pp. 409 - 427, doi: 10.1051/m2an/2020086 (arXiv).
M. Lewin, S. Rota Nodari, The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications, Calc. Var. 59, (2020), 197, doi: 10.1007/s00526-020-01863-w
(arXiv).
S. De Bièvre, S. Rota Nodari, Orbital stability via the energy-momentum method: the case of higher dimensional symmetry groups, Arch. Rational Mech. Anal. 231, (2019), pp. 233–284, online First, (2018), doi: 10.1007/s00205-018-1278-5 (arXiv).
M. Petrache, S. Rota Nodari, Equidistribution of jellium energy for Coulomb and Riesz Interactions, Constr. Approx. 47, (2018), pp. 163-210, doi : 10.1007/s00365-017-9395-1 (arXiv).
M. Conforti, A. Mussot, A. Kudlinski, S. Rota Nodari, G. Dujardin, S. De Bièvre, A. Armaroli, S. Trillo, Heteroclinic structure of parametric resonance in the nonlinear Schrödinger equation, Phys. Rev. Lett. 117, (2016), 013901, doi : 10.1103/PhysRevLett.117.013901
(arXiv).
S. Rota Nodari, M. Conforti, G. Dujardin, A. Kudlinski, A. Mussot, S. Trillo, S. De Bièvre, Modulation instability in dispersion-kicked optical fibers, Phys. Rev. A 92, (2015), 013810, doi : 10.1103/PhysRevA.92.013810
(arXiv).
S. De Bièvre, F. Genoud, S. Rota Nodari, Orbital stability: analysis meets geometry, in Nonlinear Optical and Atomic Systems , Lecture Notes in Mathematics 2146, (2015), pp. 147-273, doi :10.1007/978-3-319-19015-0 (arXiv).
M. Lewin, S. Rota Nodari, Uniqueness and non-degeneracy for a nuclear nonlinear Schrödinger equation, Nonlinear Differ. Equ. Appl. (NoDEA) 22 (2015), pp. 673-698, doi:10.1007/s00030-014-0300-3 (arXiv).
S. Rota Nodari, S. Serfaty, Renormalized energy equidistribution and local charge balance in 2D Coulomb systems, Int. Math. Res. Not. IMRN 11 (2015), pp. 3035-3093, doi: 10.1093/imrn/rnu031 (arXiv).
L. Le Treust, S. Rota Nodari, Symmetric Excited States
for a Mean-Field Model for a Nucleon, Journal of Differential Equations, vol. 255(10) (2013), pp. 3536-3563, doi: 10.1016/j.jde.2013.07.041 (arXiv).
M.J. Esteban, S. Rota Nodari, Ground States
for a Stationary Mean-Field Model for a Nucleon, Ann. Henri Poincaré, vol. 14(5) (2013), pp. 1287-1303, doi: 10.1007/s00023-012-0211-y (arXiv).
M.J. Esteban, S. Rota Nodari, Symmetric ground states for a stationary relativistic mean-field model for nucleons in the nonrelativistic limit, Rev. Math. Phys., Vol. 24(10) (2012), 1250025 (30 pages), doi: 10.1142/S0129055X12500250 (arXiv).
S. Rota Nodari, The relativistic mean-field equations of the atomic
nucleus, Rev. Math. Phys., vol. 24(4) (2012), 1250008 (41 pages), doi: 10.1142/S0129055X12500080 (arXiv).
S. Rota Nodari, Perturbation method for particle-like solutions of the
Einstein–Dirac–Maxwell equations, C. R. Acad.
Sci. Paris, Ser. I 348 (2010), pp. 791-794, doi: 10.1016/j.crma.2010.06.003 (arXiv).
S. Rota Nodari, Perturbation Method for Particle-like Solutions of the
Einstein-Dirac equations, Ann. Henri Poincaré, vol. 10 (7) (2010),
pp. 1377–1393, doi: 10.1007/s00023-009-0015-x (arXiv).
Conference Proceedings
M. Conforti, A. Mussot, A. Kudlinski, S. Rota Nodari, G. Dujardin, S. De Bièvre, A. Armaroli, S. Trillo, Heteroclinic structure of parametric resonance in Fibers with Periodic Dispersion, Proceedings Photonics and Fiber Technology 2016 (ACOFT, BGPP, NP) doi : 10.1364/NP.2016.NTh4A.2.
M. Conforti, A. Mussot, A. Kudlinski, S. Rota Nodari, G. Dujardin, S. De Bièvre, A. Armaroli, S. Trillo, Nonlinear Stage of Modulation Instability in Dispersion Oscillating Fibers, Proceedings Conference on Lasers and Electro-Optics 2016 doi : 10.1364/CLEO_AT.2016.JW2A.70.
M. Conforti, S. Rota Nodari, G. Dujardin, A. Kudlinski, A. Mussot, S. Trillo, S. De Bièvre, Modulation instability in periodically dispersion kicked optical fibers, Proceedings 2015 European Conference on Lasers and Electro-Optics - European Quantum Electronics Conference
Surveys
S. Rota Nodari, Mesures de Gibbs non linéaires et limites de champ moyen pour les systèmes quantiques , d'après Lewin, Nam et Rougerie, Séminaire Bourbaki (2024), (PDF), (Live) .
Preprints
T. Goudon, S. Rota Nodari, A simple testbed for stability analysis of quantum dissipative systems, Preprint (2023), (arXiv).