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
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Constructive Krein-Rutman result for Kinetic Fokker-Planck equations in a domain (with Pierre Gabriel, Richard Medina and Stéphane Mischler).
Preprint 2024. arXiv
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The Landau equation in a domain (with Stéphane Mischler).
Preprint 2024. arXiv
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The Kinetic Fokker-Planck equation in a domain: Ultracontractivity, hypocoercivity and long-time asymptotic behavior (with Stéphane Mischler).
Preprint 2024. arXiv
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On the self-similar stability of the parabolic-parabolic Keller-Segel equation (with Frank Alvarez Borges and Stéphane Mischler).
To appear in Revista Matemática Iberoamericana, 2024. arXiv
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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 | doi
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Noncutoff Boltzmann equation with soft potentials in the whole space (with Pierre Gervais)
Pure and Applied Analysis 6(1), 253–303, 2024. arXiv | doi
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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
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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
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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
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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 | doi
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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)
Archive for Rational Mechanics and Analysis 243(3), 1565–1596, 2022. arXiv | doi
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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
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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)
Communications in Mathematical Physics 373(1), 265–325, 2020. arXiv | doi
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Rigidity results in generalized isothermal fluids (with Rémi Carles and Matthieu Hillairet)
Annales Henri Lebesgue 1, 47–85, 2018. arXiv | doi
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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
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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
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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
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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
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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
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Exponential convergence to equilibrium for
the homogeneous Landau equation with hard potentials
Bulletin des Sciences Mathématiques 139(7), 777–805, 2015. arXiv | doi
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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
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Propagation of chaos for the spatially
homogeneous Landau equation for Maxwellian molecules
Kinetic and Related Models 9(1), 1–49, 2016. arXiv | doi
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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
Expository notes
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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).
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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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Asymptotic behavior for the Landau equation with Coulomb potential
Journées Équations aux Dérivées Partielles 2016, Exp. No. 4, 13 p.
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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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On the trend to equilibrium for the spatially homogeneous Landau equation with hard potentials
Proceedings of COMPUMAT 2013, Havana, Nov. 2013.
Thesis