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Plane wave stability analysis of Hartree and quantum dissipative systems

 Thierry Goudon , Simona Rota Nodari
2023
Pré-publication, Document de travail hal-03942519v2
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Heteroclinic structure of parametric resonance in the nonlinear Schrödinger equation

 Matteo Conforti , Arnaud Mussot , Alexandre Kudlinski , Simona Rota Nodari , Guillaume Dujardin , et al.
Physical Review Letters, 2016, 117 (1), ⟨10.1103/PhysRevLett.117.013901⟩
Article dans une revue hal-01333882v1

Heteroclinic Structure of Parametric Resonance in Fibers with Periodic Dispersion

 Matteo Conforti , Arnaud Mussot , Alexandre Kudlinski , Simona Rota Nodari , Guillaume Dujardin , et al.
OSA Advanced Photonics Congress 2016 (APC 2016), Sep 2016, Sydney, Australia. pp.NTh4A.2, ⟨10.1364/NP.2016.NTh4A.2⟩
Communication dans un congrès hal-03541473v1
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Contributions to the mathematical study of models from classical and quantum physics

 Simona Rota Nodari
Analysis of PDEs [math.AP]. Université Bourgogne Franche-Comté, 2021
HDR tel-03182860v1
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Perturbation Method for Particle-like Solutions of the Einstein-Dirac-Maxwell Equations

 Simona Rota Nodari
Comptes Rendus. Mathématique, 2010, 348, pp.Pages 791-794. ⟨10.1016/j.crma.2010.06.003⟩
Article dans une revue hal-00442453v1
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Symmetric Excited States for a Mean-Field Model for a Nucleon

 Loïc Le Treust , Simona Rota Nodari
Journal of Differential Equations, 2013, 255, pp.3536-3563. ⟨10.1016/j.jde.2013.07.041⟩
Article dans une revue hal-00755608v1

The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications

 Mathieu Lewin , Simona Rota Nodari
Calculus of Variations and Partial Differential Equations, 2020, 59, pp.197. ⟨10.1007/s00526-020-01863-w⟩
Article dans une revue hal-02792656v1
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A simple testbed for stability analysis of quantum dissipative systems

 Thierry Goudon , Simona Rota Nodari
2023
Pré-publication, Document de travail hal-04308160v1
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The relativistic mean-field equations of the atomic nucleus

 Simona Rota Nodari
Reviews in Mathematical Physics, 2012, 24 (4), 1250008 (41 p.). ⟨10.1142/S0129055X12500080⟩
Article dans une revue hal-00553265v2
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Orbital stability via the energy-momentum method: the case of higher dimensional symmetry groups

 Stephan de Bièvre , Simona Rota Nodari
Archive for Rational Mechanics and Analysis, 2019, 231 (1), pp.233-284. ⟨10.1007/s00205-018-1278-5⟩
Article dans une revue hal-01312534v3

Nonlinear Stage of Modulation Instability in Dispersion Oscillating Fibers

 Matteo Conforti , Arnaud Mussot , Alexandre Kudlinski , Simona Rota Nodari , Guillaume Dujardin , et al.
Conference on Lasers and Electro-Optics (CLEO 2016), Jun 2016, San Jose, CA, United States. pp.JW2A.70, ⟨10.1364/CLEO_AT.2016.JW2A.70⟩
Communication dans un congrès hal-01470823v1
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Ground States for a Stationary Mean-Field Model for a Nucleon

 Maria J. Esteban , Simona Rota Nodari
Annales Henri Poincaré, 2013, 14 (5), pp 1287-1303. ⟨10.1007/s00023-012-0211-y⟩
Article dans une revue hal-00723553v1
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Perturbation Method for Particle-like Solutions of the Einstein-Dirac Equations

 Simona Rota Nodari
Annales Henri Poincaré, 2009, 10 (7), p. 1377-1393. ⟨10.1007/s00023-009-0015-x⟩
Article dans une revue hal-00399486v2
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Modulational instability in dispersion-kicked optical fibers

 Simona Rota Nodari , Matteo Conforti , Guillaume Dujardin , Alexandre Kudlinski , Arnaud Mussot , et al.
Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2015, 92 (1), ⟨10.1103/PhysRevA.92.013810⟩
Article dans une revue hal-01250315v1
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Equidistribution of Jellium Energy for Coulomb and Riesz Interactions

 Mircea Petrache , Simona Rota Nodari
Constructive Approximation, 2018, 47 (1), pp.163-210. ⟨10.1007/s00365-017-9395-1⟩
Article dans une revue hal-01363539v2
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On a nonlinear Schrödinger equation for nucleons in one space dimension

 Christian Klein , Simona Rota Nodari
ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (2), pp.409-427. ⟨10.1051/m2an/2020086⟩
Article dans une revue hal-02463441v2
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Symmetric ground states for a stationary relativistic mean-field model for nucleons in the nonrelativistic limit

 Maria J. Esteban , Simona Rota Nodari
Reviews in Mathematical Physics, 2012, 24 (10), pp.1250025
Article dans une revue hal-00692134v2
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The Dirac-Klein-Gordon system in the strong coupling limit

 Jonas Lampart , Loïc Le Treust , Simona Rota Nodari , Julien Sabin
Annales Henri Lebesgue, 2023, 6, pp.541-573. ⟨10.5802/ahl.171⟩
Article dans une revue hal-03380577v1
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Modulational instability in optical fibers with randomly-kicked normal dispersion

 G Dujardin , A Armaroli , Simona Rota Nodari , A Mussot , A Kudlinski , et al.
Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2021, 103 (5), pp.053521. ⟨10.1103/PhysRevA.103.053521⟩
Article dans une revue hal-03157350v2
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Orbital stability: analysis meets geometry

 Stephan De Bièvre , François Genoud , Simona Rota Nodari
Nonlinear Optical and Atomic Systems, 2146, pp.147-273, 2015, Lecture Notes in Mathematics, ⟨10.1007/978-3-319-19015-0_3⟩
Chapitre d'ouvrage hal-01028168v3
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Renormalized energy equidistribution and local charge balance in 2D Coulomb systems

 Simona Rota Nodari , Sylvia Serfaty
International Mathematics Research Notices, 2015, 2015 (11), pp.3035-3093. ⟨10.1093/imrn/rnu031⟩
Article dans une revue hal-00843427v2
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Uniqueness and non-degeneracy for a nuclear nonlinear Schrödinger equation

 Mathieu Lewin , Simona Rota Nodari
Nonlinear Differential Equations and Applications, 2015, 22 (4), pp.673-698
Article dans une revue hal-00987318v1
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