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Mathematical Frontiers in the Analysis of Many-particle Systems

Total Cost €


EC-Contrib. €






 MAFRAN project word cloud

Explore the words cloud of the MAFRAN project. It provides you a very rough idea of what is the project "MAFRAN" about.

fundamental    derivation    mechanics    paths    horizon    equation    theory    physics    solutions    class    construction    limits    opened    edge    partial    supportive    centre    stability    macroscopic    elliptic    played    thermodynamics    connexions    interplay    statistical    possibilities    progresses    rigorous    university    regularisation    coulomb    ecology    grad    differential    biology    collective    community    realm    world    times    2d    created    boltzmann    damping    2020    regularity    opening    probability    breakthroughs    mean    front    propagation    operators    deeper    collision    fluid    steady    phenomena    mixing    benefit    conceptual    nash    particle    uncovering    structures    landau    plasma    building    frontiers    devoted    communities    am    mathematical    nonlocal    equations    cutting    environment    outside    correspond    deep    posedness    combined    dialogue    giorgi    dispersive    cambridge    group    homogeneous    levels    dynamical    de    nonlinear    kinetic   

Project "MAFRAN" data sheet

The following table provides information about the project.


Organization address
postcode: CB2 1TN

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country United Kingdom [UK]
 Project website
 Total cost 1˙950˙637 €
 EC max contribution 1˙950˙637 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2016-COG
 Funding Scheme ERC-COG
 Starting year 2017
 Duration (year-month-day) from 2017-09-01   to  2022-08-31


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 


 Project objective

The recent growing mathematical activity around the partial differential equations of kinetic theory has lead to deeper and deeper conceptual breakthroughs. This has opened new paths, and has created new frontiers with other cutting-edge fields of research. These frontiers correspond to three combined levels: the dialogue with another world-leading research community; the uncovering of deep new connexions and methods through this interplay; the possibilities of making significant progresses on a fundamental open problem: I. with the elliptic regularity community (regularisation for nonlocal collision operators, De Giorgi- Nash theory): the main challenge is the well-posedness of the Landau-Coulomb equation; II. with the dispersive and fluid mechanics equations communities (nonlinear stability driven by phase mixing): the main challenge is the damping stability of non spatially homogeneous structures; III. with the dynamical system and probability communities (mean-field and Boltzmann-Grad limits): the main challenge is the rigorous derivation of the fundamental equations of statistical mechanics on macroscopic times; IV. with the applications to biology, ecology and statistical physics (emerging collective phenomena for open many-particle systems): the main challenge is the understanding of steady or propagation front solutions and their stability outside the realm of the 2d principle of thermodynamics. These frontiers can rapidly lead to key advances with potential impact in mathematical analysis and fundamental physics (plasma physics, statistical mechanics); the work program Horizon 2020 would strongly benefit from the construction of a world-class research centre devoted to them. This is my objective in this project: I have played a key role in the opening of these frontiers, I propose new approaches, I have experience in building a research group, and the University of Cambridge, where I am based, would provide a unique supportive environment.


year authors and title journal last update
List of publications.
2018 Marc Briant, Sara Merino-Aceituno, Clément Mouhot
From Boltzmann to incompressible Navier–Stokes in Sobolev spaces with polynomial weight
published pages: 85-116, ISSN: 0219-5305, DOI: 10.1142/s021953051850015x
Analysis and Applications 17/01 2020-01-23
2018 Jacob Bedrossian, Nader Masmoudi, Clément Mouhot
Landau Damping in Finite Regularity for Unconfined Systems with Screened Interactions
published pages: 537-576, ISSN: 0010-3640, DOI: 10.1002/cpa.21730
Communications on Pure and Applied Mathematics 71/3 2020-01-23
2018 E. A. Carlen, R. Esposito, J. L. Lebowitz, R. Marra, C. Mouhot
Approach to the Steady State in Kinetic Models with Thermal Reservoirs at Different Temperatures
published pages: 522-543, ISSN: 0022-4715, DOI: 10.1007/s10955-018-2074-1
Journal of Statistical Physics 172/2 2020-01-23
2018 Laurent Chupin, Andrei Ichim, Sébastien Martin
Stationary Oldroyd model with diffusive stress in thin pipes
published pages: 147-172, ISSN: 0044-2267, DOI: 10.1002/zamm.201700036
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 98/1 2020-01-23
2018 Claude Bardos, François Golse, Ivan Moyano
Linear Boltzmann equation and fractional diffusion
published pages: 1011-1036, ISSN: 1937-5077, DOI: 10.3934/krm.2018039
Kinetic & Related Models 11/4 2020-01-23
2019 François Golse, Cyril Imbert, Clément Mouhot, Alexis Vasseur
Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation
published pages: , ISSN: 0391-173X, DOI: 10.2422/2036-2145.201702_001
Annali della Scuola Normale Superiore - Classe di Scienze 2020-01-23

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