Mathematical Frontiers in the Analysis of Many-particle Systems

Project Information

MAFRAN

Grant agreement ID: 726386

DOI 10.3030/726386

Project closed

EC signature date 24 January 2017

Start date 1 September 2017

End date 31 August 2023

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 1 950 637,00

EU contribution € 1 950 637,00

Coordinated by

THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
United Kingdom

Publications

Peer reviewed articles (6)

Hypocoercivity without confinement

Author(s): Emeric Bouin, Jean Dolbeault, Stéphane Mischler, Clément Mouhot, Christian Schmeiser
Published in: Pure and Applied Analysis, Issue 2/2, 2020, Page(s) 203-232, ISSN 2578-5885
Publisher: MPT
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, Issue 7, 2020, Page(s) 143-183, ISSN 2270-518X
Publisher: Ecole Polytechnique
DOI: 10.5802/jep.113

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: Arch Rational Mech Anal, Issue 243, 2020, Page(s) 1565–1596, ISSN 0000-0000
Publisher: Springer
DOI: 10.1007/s00205-021-01741-5

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, Issue 169/1, 2020, Page(s) 99-124, ISSN 0167-8019
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10440-019-00290-0

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

Author(s): Cyril Imbert, Clément Mouhot
Published in: Annales Henri Lebesgue, Issue 4, 2021, Page(s) 369-405, ISSN 2644-9463
Publisher: Centre Mersenne
DOI: 10.5802/ahl.75

Gaussian Lower Bounds for the Boltzmann Equation without Cutoff

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

Other (7)

Quantitative Propagation of Chaos for the Mixed-Sign Viscous Vortex Model on the Torus

Author(s): Dominic Wynter
Published in: preprint, 2021
Publisher: arxiv

Log-transform and the weak Harnack inequality for kinetic Fokker-Planck equations

Author(s): Jessica Guerand, Cyril Imbert
Published in: preprint, 2021
Publisher: arxiv

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

Author(s): Jacob Bedrossian, Nader Masmoudi, Clement Mouhot
Published in: SIAM Journal of Mathematical Analysis, 2022
Publisher: SIAM

Decay estimates for the massless Vlasov equation on Schwarzschild spacetimes

Author(s): Léo Bigorgne
Published in: preprint, 2020
Publisher: arxiv

Quantitative fluid approximation in transport theory: a unified approach

Author(s): Emeric Bouin, Clément Mouhot
Published in: Probability and Mathematical Physics, 2022
Publisher: MSP

Quantitative de Giorgi Methods in Kinetic Theory

Author(s): Jessica Guerand, Clément Mouhot
Published in: Journal de l'École Polytechnique, 2021, ISSN 0000-0000
Publisher: Publisher

Global smooth solutions for triangular reaction-cross diffusion systems

Author(s): Jessica Guerand, Angeliki Menegaki, Ariane Trescases
Published in: preprint, 2022
Publisher: arxiv