Kleber Carrapatoso
Professeur Monge
Centre de Mathématiques Laurent Schwartz (CMLS)
École Polytechnique
91128 Palaiseau Cedex, France
Email : kleber.carrapatoso (at) polytechnique.edu
Publications
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Quantitative and qualitative Kac's chaos on
the Boltzmann's sphere
Ann. Inst. H. Poincaré Probab. Statist. 51 (2015), no. 3, 993–1039.
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Propagation of chaos for the spatially
homogeneous Landau equation for Maxwellian molecules
Kinet. Relat. Models 9 (2016), no. 1, 1–49.
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Chaos and entropic chaos in Kac's model
without high moments (with Amit Einav)
Electron. J. Probab. 18 (2013), no. 78, 1–38.
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Exponential convergence to equilibrium for
the homogeneous Landau equation with hard potentials
Bull. Sci. Math. 139 (2015), no. 7, 777–805.
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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.
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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.
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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]
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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.
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Landau equation for very soft and Coulomb potentials near Maxwellians (with Stéphane Mischler)
Annals of PDE 3 (2017), no. 1, Art. 1, 65 pp.
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Rigidity results in generalized isothermal fluids (with Rémi Carles and Matthieu Hillairet)
Annales Henri Lebesgue 1 (2018), 47–85.
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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.
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Global weak solutions for quantum isothermal fluids (with Rémi Carles and Matthieu Hillairet)
Preprint 2019
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Weighted Korn and Poincaré-Korn
inequalities in the Euclidean space and associated operators (with Jean Dolbeault, Frédéric Hérau, Stéphane Mischler and Clément Mouhot)
Preprint 2020
Expository notes
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On the trend to equilibrium for the spatially homogeneous Landau equation with hard potentials
Proceedings of COMPUMAT 2013, Havana, Nov. 2013.
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The parabolic-parabolic Keller-Segel equation
Séminaire Laurent Schwartz — EDP et applications (2014-2015), Exp. No. XVIII, 17 p.
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Asymptotic behavior for the Landau equation with Coulomb potential
Journées Équations aux Dérivées Partielles 2016, Exp. No. 4, 13 p.
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Comportement en temps long pour l’équation de Landau
Séminaire Laurent Schwartz — EDP et applications (2017-2018), Exp. No. XIII, 17 p.
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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