Kleber Carrapatoso

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)
    To appear in Journal of the European Mathematical Society, 2023 (arXiv:2105.04855).  arXiv


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. Non-cutoff Boltzmann equation with soft potentials in the whole space (with Pierre Gervais)
    To appear in Pure and Applied Analysis, 2023 (arXiv:2212.04315).  arXiv


19. Hydrodynamic limit for the non-cutoff Boltzmann equation (with Chuqi Cao)
    Preprint arXiv:2304.06362 (updated June 2023).  arXiv


20. On the self-similar stability of the parabolic-parabolic Keller-Segel equation (with Frank Alvarez Borges and Stéphane Mischler).
    Preprint arXiv:2311.00095.  arXiv

Expository notes

• On the trend to equilibrium for the spatially homogeneous Landau equation with hard potentials
  Proceedings of COMPUMAT 2013, Havana, Nov. 2013.


• The parabolic-parabolic Keller-Segel equation
  Séminaire Laurent Schwartz — EDP et applications (2014-2015), Exp. No. XVIII, 17 p.


• Asymptotic behavior for the Landau equation with Coulomb potential
  Journées Équations aux Dérivées Partielles 2016, Exp. No. 4, 13 p.


• Comportement en temps long pour l’équation de Landau
  Séminaire Laurent Schwartz — EDP et applications (2017-2018), Exp. No. XIII, 17 p.


• Rigidity in isothermal fluids (with Rémi Carles and Matthieu Hillairet)
  Hyperbolic Problems: Theory, Numerics, Applications, Proceedings of the Seventeenth International Conference on Hyperbolic Problems, AIMS Series on Applied Mathematics, Vol. 10, pp.136–144 (2020).

Thesis

• PhD thesis (2013): advised by Stéphane Mischler and Clément Mouhot


• Habilitation (2020)