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Giuseppe Toscani

Professor
Department of Mathematics 'F. Casorati'
University of Pavia
Italy

Biography

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).

Research Interest

Mathematical and numerical methods in kinetic theory of rarefied gases; Granular gases; Statistical Mechanics; Diffusion equations; Hyperbolic systems and applications; Mathematical modeling in socio-economic and related problems

Publications

  • G. Furioli, A. Pulvirenti, E. Terraneo, G. Toscani, Fokker--Planck equations in the modelling of socio-economic phenomena, Math. Mod. Meth. Appl. Scie. 27 (1) 115-158 (2017)

  • M. Torregrossa, G.Toscani, On a Fokker-Planck equation for wealth distribution, Kinet. Relat. Models (in press) (2017)

  • G. Toscani, Diffusion equations and entropy inequalities, (preprint) (2016)

  • G.Toscani, Continuum models in wealth distribution, Rend. Lincei Mat. Appl. (in press) (2017)

  • G. Toscani, A Rosenau-type approach to the approximation of the linear Fokker--Planck equation, Kinet. Relat. Models

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