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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.

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

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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