MATKIT

Mathematical Aspects of Kinetic Theory

Coordinatore	THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE    more Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.
Nazionalità Coordinatore	United Kingdom [UK]
Totale costo	1˙150˙000 €
EC contributo	1˙150˙000 €
Programma	FP7-IDEAS-ERC Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	ERC-2011-StG_20101014
Funding Scheme	ERC-SG
Anno di inizio	2011
Periodo (anno-mese-giorno)	2011-09-01   -   2016-08-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE  Organization address address: The Old Schools, Trinity Lane city: CAMBRIDGE postcode: CB2 1TN contact info Titolo: Dr. Nome: Clément Cognome: Mouhot Email: send email Telefono: +44 1223 764269	UK (CAMBRIDGE)	hostInstitution	1˙150˙000.00
2	THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE  Organization address address: The Old Schools, Trinity Lane city: CAMBRIDGE postcode: CB2 1TN contact info Titolo: Ms. Nome: Renata Cognome: Schaeffer Email: send email Telefono: +44 1223 333543 Fax: +44 1223 332988	UK (CAMBRIDGE)	hostInstitution	1˙150˙000.00

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 Obiettivo del progetto (Objective)

'The main goal of the project is to reach a better mathematical understanding of the (integro)-partial differential equations from kinetic theory, in particular their qualitative and asymptotic behavior, derivation from many particle systems, and singular limits. Although various evolution problems from physics shall be considered, the paradigmatic ones are the Boltzmann equation for gas dynamics and the Vlasov-Poisson equation for plasmas and galactic dynamics.

The methodology is focused on the developement of conceptual tools and mathematical techniques. It shall put therefore the emphasize on the structures common to several problems, with a view to their possible application to other fields of mathematical analysis. The methodology is also characterized by the search, whenever possible, of constructive quantitative methods of proofs, and by the attention payed to the qualitative meaning of the mathematical results obtained for physics.

The tasks related to the general goal of the project are organized into the following four parts: I. Space-independent kinetic equations for describing microscopic interactions (Cauchy problem for long-ranged interactions, granular gases and self-similarity). II. Transport equations and phase mixing (Landau damping for Vlasov equations, inviscid damping for 2-dimensional incompressible fluids). III. How transport and collisions mix: hypocoercivity (spectral and stability analysis of hypocoercive collisional operators according to the local equilibrium space and the geometry of confinement). IV. Derivation of kinetic equations (mean-field and Boltzmann-Grad limits by semigroup approach).

I have been involved in many recent progresses related to these aspects and I aim at constructing a team around me in order to achieve these tasks and objectives. Kinetic theory is developing a growing rate, and the construction of such a team in Europe would be timely.'