Large time dynamics and dispersion

• Dynamics near the origin of the long range scattering for the one-dimensional Schrödinger equation.
  C. R. Math. Acad. Sci. Paris 362 (2024), 1717-1742. [article|preprint]
• Logarithmic Gross-Pitaevskii equation.
  With Guillaume Ferriere. Comm. Partial Differential Equations 49 (2024), nos. 1-2, 88-120. [article|preprint]
• Logarithmic Schrödinger equation and isothermal fluids.
  EMS Surv. Math. Sci. 9 (2022), no. 1, 99-134. [article|preprint]
• Logarithmic Schrödinger equation with quadratic potential.
  With Guillaume Ferriere. Nonlinearity 34 (2021), no. 12, 8283-8310. [article|preprint]
• Global dynamics below the ground states for NLS under partial harmonic confinement.
  With Alex Ardila. Commun. Math. Sci. 19 (2021), no. 4, 993-1032. [article|preprint]
• Orbital stability vs. scattering in the cubic-quintic Schrödinger equation.
  With Christof Sparber. Rev. Math. Phys. 33 (2021), no. 3, 2150004. [article|preprint]
• Universal dynamics for the defocusing logarithmic Schrödinger equation.
  With Isabelle Gallagher. Duke Math. J. 167 (2018), no. 9, 1761-1801. [article|preprint]
  • Universal dynamics for the logarithmic Schrödinger equations.
    Harmonic analysis and wave equations, 177-212, Ser. Contemp. Appl. Math. CAM, 23, Higher Ed. Press, Beijing, 2019. [Proceeding|preprint]

• On semi-classical limit of nonlinear quantum scattering.
  Ann. Sci. Éc. Norm. Supér. (4) 49 (2016), no. 3, 711-756. [article|preprint]
• Scattering for the nonlinear Schrödinger equation with a general one-dimensional confinement.
  With Clément Gallo. J. Math. Phys. 56 (2015), no. 10, 101503. [article|preprint]
• Scattering for nonlinear Schrödinger equation under partial harmonic confinement.
  With Paolo Antonelli and Jorge Drumond Silva. Commun. Math. Phys. 334 (2015), no. 1, 367-396. [article|preprint]
• Large time behavior in nonlinear Schrödinger equation with time dependent potential.
  With Jorge Drumond Silva. Commun. Math. Sci. 13 (2015), no. 2, 443-460. [article|preprint]
• A nonlinear Landau-Zener formula.
  With Clotilde Fermanian Kammerer. J. Stat. Phys. 152 (2013), no. 4, 619-656. [article|preprint]
• Nonlinear Schrödinger equation and frequency saturation.
  Anal. PDE 5 (2012), no. 5, 1157-1173. [article|preprint]
• Energy cascade for NLS on the torus.
  With Erwan Faou. Discrete Contin. Dyn. Syst. 32 (2012), no. 6, 2063-2077. [article|preprint]
• On Schrödinger equations with modified dispersion.
  Dyn. Partial Differ. Equ. 8 (2011), no. 3, 173-184. [article|preprint]
• Nonlinear Schrödinger equation with time dependent potential.
  Commun. Math. Sci. 9 (2011), no. 4, 937-964. [article|preprint]
• Minimal blow-up solutions to the mass-critical inhomogeneous NLS equation.
  With Valeria Banica and Thomas Duyckaerts. Comm. Partial Differential Equations 36 (2011), no. 3, 487-531. [article|preprint]
• On scattering for NLS: from Euclidean to hyperbolic space.
  With Valeria Banica and Thomas Duyckaerts. Discrete Contin. Dyn. Syst. 24 (2009), no. 4, 1113-1127. [article|preprint]
• Rotating points for the conformal NLS scattering operator.
  Dyn. Partial Differ. Equ. 6 (2009), no. 1, 35-51. [article|preprint]
• Analyticity of the scattering operator for semilinear dispersive equations.
  With Isabelle Gallagher. Commun. Math. Phys. 286 (2009), no. 3, 1181-1209. [article|preprint]
• Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space.
  With Valeria Banica and Gigliola Staffilani. Geom. Funct. Anal. 18 (2008), no. 2, 367-399. [article|preprint]
• A Poisson formula for the Schrödinger operator.
  With Tohru Ozawa. J. Fourier Anal. Appl. 14 (2008), no. 3, 475-483. [article|preprint]
• On the wave operators for the critical nonlinear Schrödinger equation.
  With Tohru Ozawa. Math. Res. Lett. 15 (2008), no. 1, 185-195. [article|preprint]
• Monotonicity properties of blow-up time for nonlinear Schrödinger equation: numerical tests.
  With Christophe Besse, Norbert Mauser and Hans Peter Stimming. Discrete Contin. Dyn. Syst. Ser. B 9 (2008), no. 1, 11-36. [article|preprint]
• Scattering theory for the Schrödinger equation with repulsive potential.
  With Jean-François Bony, Dietrich Häfner and Laurent Michel. J. Math. Pures Appl. 84 (2005), no. 5, 509-579. [article|preprint]