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Mathematical Frontiers in the Analysis of Many-particle Systems


Hypocoercivity without confinement

Author(s): Emeric Bouin, Jean Dolbeault, Stéphane Mischler, Clément Mouhot, Christian Schmeiser
Published in: Pure and Applied Analysis, 2/2, 2020, Page(s) 203-232, ISSN 2578-5885
Publisher: MSP
DOI: 10.2140/paa.2020.2.203

Decay estimates for large velocities in the Boltzmann equation without cutoff

Author(s): Cyril Imbert, Clément Mouhot, Luis Silvestre
Published in: Journal de l’École polytechnique — Mathématiques, 7, 2020, Page(s) 143-183, ISSN 2270-518X
Publisher: Les Éditions de l'École Polytechnique
DOI: 10.5802/jep.113

Uniqueness of the Non-Equilibrium Steady State for a 1d BGK Model in Kinetic Theory

Author(s): E. Carlen, R. Esposito, J. Lebowitz, R. Marra, C. Mouhot
Published in: Acta Applicandae Mathematicae, 169/1, 2020, Page(s) 99-124, ISSN 0167-8019
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10440-019-00290-0

Gaussian Lower Bounds for the Boltzmann Equation without Cutoff

Author(s): Cyril Imbert, Clément Mouhot, Luis Silvestre
Published in: SIAM Journal on Mathematical Analysis, 52/3, 2020, Page(s) 2930-2944, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1252375

Landau Damping in Finite Regularity for Unconfined Systems with Screened Interactions

Author(s): Jacob Bedrossian, Nader Masmoudi, Clément Mouhot
Published in: Communications on Pure and Applied Mathematics, 71/3, 2018, Page(s) 537-576, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.21730

Approach to the Steady State in Kinetic Models with Thermal Reservoirs at Different Temperatures

Author(s): E. A. Carlen, R. Esposito, J. L. Lebowitz, R. Marra, C. Mouhot
Published in: Journal of Statistical Physics, 172/2, 2018, Page(s) 522-543, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-018-2074-1

From Boltzmann to incompressible Navier–Stokes in Sobolev spaces with polynomial weight

Author(s): Marc Briant, Sara Merino-Aceituno, Clément Mouhot
Published in: Analysis and Applications, 17/01, 2018, Page(s) 85-116, ISSN 0219-5305
Publisher: World Scientific
DOI: 10.1142/s021953051850015x

Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation

Author(s): François Golse, Cyril Imbert, Clément Mouhot, Alexis Vasseur
Published in: Annali della Scuola Normale Superiore - Classe di Scienze, 2019, ISSN 0391-173X
Publisher: Stampacchia Guido
DOI: 10.2422/2036-2145.201702_001

Linear Boltzmann equation and fractional diffusion

Author(s): Claude Bardos, François Golse, Ivan Moyano
Published in: Kinetic & Related Models, 11/4, 2018, Page(s) 1011-1036, ISSN 1937-5077
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/krm.2018039

Stationary Oldroyd model with diffusive stress in thin pipes

Author(s): Laurent Chupin, Andrei Ichim, Sébastien Martin
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 98/1, 2018, Page(s) 147-172, ISSN 0044-2267
Publisher: John Wiley & Sons Ltd.
DOI: 10.1002/zamm.201700036

Weighted Korn and Poincaré-Korn inequalities in the Euclidean space and associated operators

Author(s): Kleber Carrapatoso, Jean Dolbeault, Frédéric Hérau, Stéphane Mischler, Clément Mouhot
Published in: 2020
Publisher: arXiv (preprint)

Linearized wave-damping structure of Vlasov-Poisson in $\R^3$

Author(s): Jacob Bedrossian, Nader Masmoudi, Clement Mouhot
Published in: 2020
Publisher: arXiv (preprint)

The Schauder estimate in kinetic theory with application to a toy nonlinear model

Author(s): Cyril Imbert, Clément Mouhot
Published in: 2018
Publisher: arXiv (preprint)

Quantitative fluid approximation in transport theory: a unified approach

Author(s): Emeric Bouin, Clément Mouhot
Published in: 2020
Publisher: arXiv (preprint)

Quantitative de Giorgi Methods in Kinetic Theory

Author(s): Jessica Guerand, Clément Mouhot
Published in: 2021
Publisher: arXiv (preprint)

De Giorgi-Nash-Moser and Hörmander theories: new interplay

Author(s): Clément Mouhot
Published in: Proceedings of the International Congress of Mathematicians, 2018, Page(s) 2485-2512
Publisher: ?
DOI: 10.9999/icm2018-v3-p

Singular Limits for Plasmas with Thermalised Electrons

Author(s): Megan Griffin-Pickering, Mikaela Iacobelli
Published in: Journal de Mathématiques Pures et Appliquées, Volume 135, 2020, Page(s) 199-255
Publisher: Elsevier
DOI: 10.1016/j.matpur.2019.09.003