Explore the words cloud of the MAFRAN project. It provides you a very rough idea of what is the project "MAFRAN" about.
The following table provides information about the project.
THE CHANCELLOR MASTERS AND SCHOLARSOF THE UNIVERSITY OF CAMBRIDGE
|Coordinator Country||United Kingdom [UK]|
|Total cost||1˙950˙637 €|
|EC max contribution||1˙950˙637 € (100%)|
1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
|Duration (year-month-day)||from 2017-09-01 to 2022-08-31|
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|1||THE CHANCELLOR MASTERS AND SCHOLARSOF THE UNIVERSITY OF CAMBRIDGE||UK (CAMBRIDGE)||coordinator||1˙950˙637.00|
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|
Marc Briant, Sara Merino-Aceituno, ClÃ©ment Mouhot
From Boltzmann to incompressible Navierâ€“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|
Jacob Bedrossian, Nader Masmoudi, ClÃ©ment 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|
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|
Laurent Chupin, Andrei Ichim, SÃ©bastien 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 fÃ¼r Angewandte Mathematik und Mechanik 98/1||2020-01-23|
Claude Bardos, FranÃ§ois 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|
FranÃ§ois Golse, Cyril Imbert, ClÃ©ment 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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