41 citations · 53 across the 11 of their papers we have counts for
7 papers · 1 filter
Fokker--Planck equations and n--dimensional Poincaré inequalities for isotropic densities
G. Furioli, A. Pulvirenti, E. Terraneo +1
We consider new connections between the problem of trend to equilibrium for the n-dimensional Fokker--Planck equation of statistical physics, and weighted Poincaré inequality. To t…
Non-Maxwellian kinetic equations modeling the evolution of wealth distribution
Giulia Furioli, Ada Pulvirenti, Elide Terraneo +1
We introduce a class of new one-dimensional linear Fokker--Planck type equations describing the evolution in time of the wealth in a multi-agent society. The equations are obtained…
Asymptotic Behavior and Decay Estimates of the Solutions for a Nonlinear Parabolic Equation with Exponential Nonlinearity
Giulia Furioli, Tatsuki Kawakami, Bernhard Ruf +1
We consider a nonlinear parabolic equation with an exponential nonlinearity which is critical with respect to the growth of the nonlinearity and the regularity of the initial data.…
The grazing collision limit of the inelastic Kac model around a Lévy-type equilibrium
G. Furioli, A. Pulvirenti, E. Terraneo +1
This paper is devoted to the grazing collision limit of the inelastic Kac model introduced in [A. Pulvirenti and G. Toscani. J. Statist. Phys., 114(5-6):1453--1480, 2004], when the…
Strong Convergence towards self-similarity for one-dimensional dissipative Maxwell models
G. Furioli, A. Pulvirenti, E. Terraneo +1
We prove the propagation of regularity, uniformly in time, for the scaled solutions of one-dimensional dissipative Maxwell models. This result together with the weak convergence to…
Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules
L. Desvillettes, G. Furioli, E. Terraneo
We prove that Gevrey regularity is propagated by the Boltzmann equation with Maxwellian molecules, with or without angular cut-off. The proof relies on the Wild expansion of the so…