Special session on
Analysis and numerics of kinetic models in applied sciences
within the framework of the
french-italian conference on
mathematics and its applications
in Torino, Italy;
date: 6 july 2006
Short description of the contents of the special session:
:
The aim of this session is to present some applications of kinetic modeling,
and recent mathematical or numerical advances in this subject.
Kinetic modelling has been recently used for example in economy
(the collisions correspond to exchange), in environment science (air
pollution, traffic flows), or in bio-mathematics (aerosols, chemotaxis).
Kinetic models are intrinsically defined in large dimensions spaces
which leads to very large simulations and scientific computations
difficulties. This justifies the developpement of new numerical methods and
mathematical theory to justify approximate models.
Finally, many Franco-Italian collaborations already exists in this field
and this project will be held within the frame of the
GREFI-MEFI project
We acknowledge financial support from
GREFI-MEFI project
, GDR GRIP
and GDR CHANT
Tentative schedule of the special session:
-
9.30-9.35 Welcome
-
9.35-10.10
Piero Santagati (Catania)
WENO-IMEX schemes for the BGK model of the Boltzmann equation
-
10.10-10.35
Francis Filbet (MIP, Toulouse)
Approximation of the Boltzmann equation using spectral fast algorithms.
-
10.35-11.20 coffe break
-
11.20-11.55
Giovanni Naldi (Milano)
Continuous Models of opinion formation: Fokker-Planck
equations meet Sociophysics
-
11.55-12.30
Simona Mancini (Orleans)
A kinetic model for particles deposit.
-
13-15 lunch
-
15.00-15.35
Clément Mouhot (CEREMADE)
Energy methods for collisional kinetic equations on the torus
-
15.35-16.10
Giacomo Dimarco (Ferrara)
Hybrid schemes for kinetic equations
abstract.
-
16.15-16-45 coffe break
-
16.45-17.20
Pauline Godillon-Lafitte (Lille)
Diffusion asymptotics : a discrete kinetic scheme versus a moment closure scheme
-
17.20-17.55
Laurent Desvillettes (CMLA, ENS Cachan)
Comparing the Large Time Asymptotics of
reaction-diffusion
equations and kinetic equations