Kleber Carrapatoso

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

Email : kleber.carrapatoso (at) polytechnique.edu

Publications

• Quantitative and qualitative Kac's chaos on the Boltzmann's sphere
  Ann. Inst. H. Poincaré Probab. Statist. 51 (2015), no. 3, 993–1039.


• Propagation of chaos for the spatially homogeneous Landau equation for Maxwellian molecules
  Kinet. Relat. Models 9 (2016), no. 1, 1–49.


• Chaos and entropic chaos in Kac's model without high moments (with Amit Einav)
  Electron. J. Probab. 18 (2013), no. 78, 1–38.


• Exponential convergence to equilibrium for the homogeneous Landau equation with hard potentials
  Bull. Sci. Math. 139 (2015), no. 7, 777–805.


• On the rate of convergence to equilibrium for the homogeneous Landau equation with soft potentials
  J. Math. Pures Appl. (9) 104 (2015), no. 2, 276–310.


• Uniqueness and long time asymptotics for the parabolic-parabolic Keller-Siegel equation (with Stéphane Mischler)
  Comm. Partial Differential Equations 42 (2017), no. 2, 291–345.


• Cauchy problem and exponential stability for the inhomogeneous Landau equation (with Isabelle Tristani and Kung-Chien Wu)
  Arch. Ration. Mech. Anal. 221 (2016), no. 1, 363–418. [Erratum]


• Estimates for the large time behavior of the Landau equation in the Coulomb case (with Laurent Desvillettes and Lingbing He)
  Arch. Ration. Mech. Anal. 224 (2017), no. 2, 381–420.


• Landau equation for very soft and Coulomb potentials near Maxwellians (with Stéphane Mischler)
  Annals of PDE 3 (2017), no. 1, Art. 1, 65 pp.


• Rigidity results in generalized isothermal fluids (with Rémi Carles and Matthieu Hillairet)
  Annales Henri Lebesgue 1 (2018), 47–85.


• On the derivation of a Stokes-Brinkman problem from Stokes equations around a random array of moving spheres (with Matthieu Hillairet)
  Commun. Math. Phys. 373 (2020), no. 1, 265–325.


• Global weak solutions for quantum isothermal fluids (with Rémi Carles and Matthieu Hillairet)
  Accepted in Annales de l'Institut Fourier (arXiv:1905.00732).


• Weighted Korn and Poincaré-Korn inequalities in the Euclidean space and associated operators (with Jean Dolbeault, Frédéric Hérau, Stéphane Mischler and Clément Mouhot)
  Preprint arXiv:2012.06347.


• Hypocoercivity for kinetic linear equations in bounded domains with general Maxwell boundary condition (with Armand Bernou, Stéphane Mischler and Isabelle Tristani)
  Preprint arXiv:2102.07709.


• Large-time behavior of compressible polytropic fluids and nonlinear Schrödinger equation (with Rémi Carles and Matthieu Hillairet)
  Preprint arXiv:2102.08640.


• Special modes and hypocoercivity for linear kinetic equations with several conservation laws and a confining potential (with Jean Dolbeault, Frédéric Hérau, Stéphane Mischler, Clément Mouhot and Christian Schmeiser)
  Preprint arXiv:2105.04855.

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)