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. 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 | doi
  2. Propagation of chaos for the spatially homogeneous Landau equation for Maxwellian molecules
    Kinetic and Related Models 9(1), 1–49, 2016.  arXiv | doi
  3. 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 | doi
  4. Exponential convergence to equilibrium for the homogeneous Landau equation with hard potentials
    Bulletin des Sciences Mathématiques 139(7), 777–805, 2015.  arXiv | doi
  5. 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 | doi
  6. 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 | doi
  7. 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 | doi | erratum
  8. 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 | doi
  9. Landau equation for very soft and Coulomb potentials near Maxwellians (with Stéphane Mischler)
    Annals of PDE 3(1), Art. 1, 65 pp., 2017.  arXiv | doi
  10. Rigidity results in generalized isothermal fluids (with Rémi Carles and Matthieu Hillairet)
    Annales Henri Lebesgue 1, 47–85, 2018.  arXiv | doi
  11. 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 | doi
  12. Global weak solutions for quantum isothermal fluids (with Rémi Carles and Matthieu Hillairet)
    Annales de l'Institut Fourier 72(6), 2241–2298, 2022.  arXiv | doi
  13. 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 | doi
  14. 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 Analyse Non Linéaire 40(2), 287–338, 2023.  arXiv | doi
  15. 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 | doi
  16. 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 | doi
  17. 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 | doi
  18. Noncutoff Boltzmann equation with soft potentials in the whole space (with Pierre Gervais)
    Pure and Applied Analysis 6(1), 253–303, 2024.  arXiv | doi
  19. Hydrodynamic limit for the non-cutoff Boltzmann equation (with Chuqi Cao)
    To appear in Annales de l'Institut Henri Poincaré Analyse Non Linéaire, 2024.  arXiv
  20. On the self-similar stability of the parabolic-parabolic Keller-Segel equation (with Frank Alvarez Borges and Stéphane Mischler).
    Preprint 2023.  arXiv
  21. The Kinetic Fokker-Planck equation in a domain: Ultracontractivity, hypocoercivity and long-time asymptotic behavior (with Stéphane Mischler).
    Preprint 2024.  arXiv
  22. The Landau equation in a domain (with Stéphane Mischler).
    Preprint 2024.  arXiv
  23. Constructive Krein-Rutman result for Kinetic Fokker-Planck equations in a domain (with Pierre Gabriel, Richard Medina and Stéphane Mischler).
    Preprint 2024.  arXiv

Expository notes

Thesis