Publications

1. Le Treust, L., Existence of Nodal Solutions for Dirac Equations with Singular Nonlinearities, Annales Henri Poincaré (A Journal of Theoretical and Mathematical Physics), (2012), preprint, article.

2. Le Treust , L. and Rota-Nodari, S., Symmetric Excited States for a Mean-Field Model for a Nucleon, Journal of Differential Equations, (2013), preprint, article.

3. Le Treust, L., A variational study of some hadron bag models, Calculus of Variations and Partial differential equations, (2014), preprint, article.

4. Bao, W., Le Treust , L. and Méhats F., Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime, Nonlinearity (2015), preprint, article.

5. Chartier, P., Le Treust, L., Méhats, F., Uniformly accurate time-splitting methods for the semiclassical Schrödinger equation. Part 1 : Construction of the schemes and simulations, (2015), preprint.

6. Bao, W., Le Treust , L. and Méhats F., Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime, Kinetic and Related Models (2017), preprint, article. 

7. Fournais S., Le Treust L., Raymond N., Van Schaftingen J., Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian, Journal of the Mathematical Society of Japan (2017), preprint, article.

8. Arrizabalaga N., Le Treust L., Raymond N., On the MIT bag model in the non-relativistic limit, Communications in Mathematical Physics, (2017), preprint, article.

9. Le Treust L., Ourmières-Bonafos T., Self-Adjointness of Dirac Operators with Infinite Mass Boundary Conditions in Sectors, Annales Henri Poincaré (A Journal of Theoretical and Mathematical Physics), (2018), preprint, article.

10. Chartier, P., Le Treust, L., Méhats, F., Uniformly accurate time-splitting methods for the semiclassical linear Schrödinger equation, ESAIM: Mathematical Modelling and Numerical Analysis, (2019), preprint, article.

11.  Barbaroux J.-M.,  Cornean H. D., Le Treust L., Stockmeyer, E. Resolvent convergence to Dirac operators on planar domains, Annales Henri Poincaré (A Journal of Theoretical and Mathematical Physics) (2019), preprint, article.

12.  Arrizabalaga N., Le Treust L., Mas A., Raymond N., The MIT Bag Model as an infinite mass limit, Journal de l'École polytechnique — Mathématiques (2019), preprint, article.

13. Arrizabalaga N., Le Treust L., Raymond N., Extension operator for the MIT Bag Model,  Annales de la Faculté des Sciences de Toulouse (2020), preprint, article.

14. Barbaroux J.-M., Le Treust L., Raymond N., Stockmeyer, E., On the semiclassical spectrum of the Dirichlet-Pauli operator, (2021), Journal of the European Mathematical Society,  preprint, article.

15. Barbaroux J.-M., Le Treust L., Raymond N., Stockmeyer, E., On the Dirac bag model in strong magnetic fields, Pure and applied analysis (2023), preprint, article.

16. Bon-Lavigne E., Le Treust L., Raymond N., Royer J. On Duclos-Exner's conjecture about waveguides in strong uniform magnetic fields. Forum of Mathematics, Sigma (2023), preprint, article.

17. Lampart J., Le Treust L., Rota Nodari  S., Sabin J., The Dirac-Klein-Gordon system in the strong coupling limit, Annales Henri Lebesgue (2023), preprint. 

18. Fahs R., Le Treust L., Raymond N., Vu Ngoc S., Boundary states of the Robin magnetic Laplacian, Documenta Mathematica (2023), preprint.

19.  Barbaroux J.-M., Cornean H. D., Le Treust L., Raymond N., Stockmeyer, E., Magnetic Dirac systems: Violation of bulk-edge correspondence in the zigzag limit, Letters in Mathematical Physics (2024), preprint. 

Doctorat: "Méthodes variationnelles et topologiques pour l’étude de modèles non linéaires issus de la mécanique quantique relativiste". pdf.