Name
|
TOSCANI, Giuseppe |
Present position
|
Full Professor of Mathematical Physics |
Curriculum Vitae
|
|
Short Curriculum
Vitae
|
Author of
about 250 papers, written both individually, or jointly with national and
international experts, of two monographs on the mathematical aspects of
Boltzmann equation and of Enskog equation in
kinetic theory of rarefied gases. Among these publications, at the moment
about 200 are quoted in the MathSciNet site,
archive where the publications of the main mathematical journals are shortly
refereed by independent experts. In the last twenty years he collaborated,
among others, with the French mathematicians Pierre-Louis Lions, winner of a
Fields medal in 1998, and Cedric Villani, recent
winner of a Fields medal in 2010, and he entertained a constant and intense
research activity with the Austrian mathematician Peter Markowich,
winner in 2001 of the Wittgenstein prize, one of the most prestigious scientific
awards of Austria. In august 2010 he has been appointed with a Rothschild
Visiting Professorship at the Isaac Newton Institute for Mathematical
Sciences of the University of Cambridge. Starting from 2010, he is member of
the Accademia Nazionale dei Lincei, the most
prestigious Italian academy, that goes back to Galileo. During the five-years
period 1997-2001 he coordinated one of the two Italian teams of the European
TMR project Asymptotic Methods in Kinetic Theory. During the period 2003-2008
he was member of the Scientific Council of the National Group of Mathematical
Physics of INDAM (Istituto Nazionale
di Alta Matematica). The findings
have been presented in many national and international Conferences, and in
various lectures on both Italian and foreign institutions. In 1988, 1994,
1999, 2004 and 2008 he was the organizer of five international Conferences in
Italy: the III International Workshop on Mathematical Aspects of Fluid and
Plasma Dynamics held in Salice Terme,
the II InternationalWorkshop on Nonlinear Kinetic
Theory and Mathematical Aspects of Hyperbolic Systems held in Sanremo, the Joint TMR Conference on Hyperbolic and
Kinetic Problems held in S. Margherita Ligure, the workshop on Modelling
and numerics of kinetic dissipative systems held in
Lipari, and, last, of the workshop on Kinetic Modelling
for Social Economic & Related Problems, held in Vigevano. He has been
Editor of a volume of the Series Lecture Notes in Mathematics, devoted to the
main lectures of the first Conference, and of the Proceedings of the second
Conference. The Proceedings were edited as a Special Issue of the
international Journal Transport Theory and Statistical Physics. The lectures
of the Workshop of Lipari have been recently published by the Nova Science,
while the main content of the workshop in Vigevano have been collected in a
book edited by Birkhauser. On mathematical aspects
of socio-economic systems has recently published, coauthored with L. Pareschi, the book "Interacting Multiagent
Systems, Kinetic equations & Monte Carlo Methods". |
Research Field
|
The main scientific interests of the last
years are concerned with -
theoretical and numerical problems connected to the kinetic theory of
rarefied gases, - kinetic
theory of dissipative systems with application to granular gases, - asymptotic
problems linked to the passage from kinetic to macroscopic models through
both hyperbolic and parabolic scaling, - asymptotic
problems related to the grazing collision limit, and the passage to
Fokker-Planck equations, - asymptotic
behaviour of nonlinear diffusion equations by
entropy methods. - kinetic models for socio-economic
multi-agents systems. |