Kleber Carrapatoso

Professor at École polytechnique

Centre de Mathématiques Laurent Schwartz (CMLS)
École polytechnique
91128 Palaiseau Cedex, France

Email : kleber.carrapatoso (at) polytechnique.edu

Publications

  1. The Navier-Stokes limit of kinetic equations for low regularity data, with Isabelle Gallagher and Isabelle Tristani
    Preprint arXiv:2503.12046
  2. Constructive Krein-Rutman result for Kinetic Fokker-Planck equations in a domain, with Pierre Gabriel, Richard Medina and Stéphane Mischler
    Preprint arXiv:2407.10530
  3. The Landau equation in a domain, with Stéphane Mischler
    Preprint arXiv:2407.09031
  4. The Kinetic Fokker-Planck equation in a domain: Ultracontractivity, hypocoercivity and long-time asymptotic behavior, with Stéphane Mischler
    Preprint arXiv:2406.10112
  5. On the self-similar stability of the parabolic-parabolic Keller-Segel equation, with Frank Alvarez Borges and Stéphane Mischler
    Preprint arXiv:2311.00095 (updated February 2025)
  6. Hydrodynamic limit for the non-cutoff Boltzmann equation, with Chuqi Cao
    Annales de l'Institut Henri Poincaré C Analyse Non Linéaire 2024, published online first,  arXiv | journal
  7. Noncutoff Boltzmann equation with soft potentials in the whole space, with Pierre Gervais
    Pure and Applied Analysis 6(1), 253–303, 2024,  arXiv | journal
  8. Regularization estimates and hydrodynamical limit for the Landau equation, with Mohamad Rachid and Isabelle Tristani
    Journal de Mathématiques Pures et Appliquées 163, 334–432, 2022,  arXiv | journal
  9. Special macroscopic modes and hypocoercivity, with Jean Dolbeault, Frédéric Hérau, Stéphane Mischler, Clément Mouhot and Christian Schmeiser
    Journal of the European Mathematical Society 2024, published online first,  arXiv | journal
  10. Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation, with Rémi Carles and Matthieu Hillairet
    Quarterly of Applied Mathematics 80(3), 549–574, 2022,  arXiv | journal
  11. Hypocoercivity for kinetic linear equations in bounded domains with general Maxwell boundary condition, with Armand Bernou, Stéphane Mischler and Isabelle Tristani
    Annales de l'Institut Henri Poincaré C Analyse Non Linéaire 40(2), 287–338, 2023,  arXiv | journal
  12. Weighted Korn and Poincaré-Korn inequalities in the Euclidean space and associated operators, with Jean Dolbeault, Frédéric Hérau, Stéphane Mischler and Clément Mouhot
    Archive for Rational Mechanics and Analysis 243(3), 1565–1596, 2022,  arXiv | journal
  13. Global weak solutions for quantum isothermal fluids, with Rémi Carles and Matthieu Hillairet
    Annales de l'Institut Fourier 72(6), 2241–2298, 2022,  arXiv | journal
  14. On the derivation of a Stokes-Brinkman problem from Stokes equations around a random array of moving spheres, with Matthieu Hillairet
    Communications in Mathematical Physics 373(1), 265–325, 2020,  arXiv | journal
  15. Rigidity results in generalized isothermal fluids, with Rémi Carles and Matthieu Hillairet
    Annales Henri Lebesgue 1, 47–85, 2018.  arXiv | journal
  16. Landau equation for very soft and Coulomb potentials near Maxwellians, with Stéphane Mischler
    Annals of PDE 3(1), Art. 1, 65 pp., 2017,  arXiv | journal
  17. Estimates for the large time behavior of the Landau equation in the Coulomb case, with Laurent Desvillettes and Lingbing He
    Archive for Rational Mechanics and Analysis 224(2), 381–420, 2017,  arXiv | journal
  18. Cauchy problem and exponential stability for the inhomogeneous Landau equation, with Isabelle Tristani and Kung-Chien Wu
    Archive for Rational Mechanics and Analysis 221(1), 363–418, 2016,  arXiv | journal | erratum
  19. Uniqueness and long time asymptotics for the parabolic-parabolic Keller-Segel equation, with Stéphane Mischler
    Communications in Partial Differential Equations 42(2), 291–345, 2017,  arXiv | journal
  20. On the rate of convergence to equilibrium for the homogeneous Landau equation with soft potentials
    Journal de Mathématiques Pures et Appliquées 104(2), 276–310, 2015,  arXiv | journal
  21. Exponential convergence to equilibrium for the homogeneous Landau equation with hard potentials
    Bulletin des Sciences Mathématiques 139(7), 777–805, 2015,  arXiv | journal
  22. Chaos and entropic chaos in Kac's model without high moments, with Amit Einav
    Electronic Journal of Probability 18, Paper no. 78, 38 pp., 2013,  arXiv | journal
  23. Propagation of chaos for the spatially homogeneous Landau equation for Maxwellian molecules
    Kinetic and Related Models 9(1), 1–49, 2016,  arXiv | journal
  24. Quantitative and qualitative Kac's chaos on the Boltzmann's sphere
    Annales de l'Institut Henri Poincaré Probabilités et Statistiques 51(3), 993–1039, 2015,  arXiv | journal

Expository notes

Thesis