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MAFRAN SIGNED

Mathematical Frontiers in the Analysis of Many-particle Systems

Total Cost €

0

EC-Contrib. €

0

Partnership

0

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 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.

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

Project "MAFRAN" data sheet

The following table provides information about the project.

Coordinator
THE CHANCELLOR MASTERS AND SCHOLARSOF THE UNIVERSITY OF CAMBRIDGE 

Organization address
address: TRINITY LANE THE OLD SCHOOLS
city: CAMBRIDGE
postcode: CB2 1TN
website: www.cam.ac.uk

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 https://kineticam.wordpress.com
 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

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    THE CHANCELLOR MASTERS AND SCHOLARSOF THE UNIVERSITY OF CAMBRIDGE UK (CAMBRIDGE) coordinator 1˙950˙637.00

Map

 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.

 Publications

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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