206 citations · 1.1k across the 65 of their papers we have counts for
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Kinetic models with randomly perturbed binary collisions
Federico Bassetti, Lucia Ladelli, Giuseppe Toscani
We introduce a class of Kac-like kinetic equations on the real line, with general random collisional rules, which include as particular cases models for wealth redistribution in an…
Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit
Lorenzo Pareschi, Giuseppe Toscani, Cédric Villani
In this paper we study the numerical passage from the spatially homogeneous Boltzmann equation without cut-off to the Fokker-Planck-Landau equation in the so-called grazing collisi…
Measure valued solutions of sub-linear diffusion equations with a drift term
S. Fornaro, S. Lisini, G. Savare' +1
In this paper we study nonnegative, measure valued solutions of the initial value problem for one-dimensional drift-diffusion equations when the nonlinear diffusion is governed by…
Self-similarity and power-like tails in nonconservative kinetic models
L. Pareschi, G. Toscani
In this paper, we discuss the large--time behavior of solution of a simple kinetic model of Boltzmann--Maxwell type, such that the temperature is time decreasing and/or time increa…
Boltzmann legacy and wealth distribution
Giuseppe Toscani
We briefly review results on nonlinear kinetic equation of Boltzmann type which describe the evolution of wealth in a simple agents market. The mathematical structure of the underl…
Fast diffusion equations: matching large time asymptotics by relative entropy methods
Jean Dolbeault, Giuseppe Toscani
A non self-similar change of coordinates provides improved matching asymptotics of the solutions of the fast diffusion equation for large times, compared to already known results,…