21 citations · 40 across the 5 of their papers we have counts for
9 papers
Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions
Thomas Borsoni, Laurent Boudin, Francesco Salvarani
In this paper, we investigate a compactness property of the linearized Boltzmann operator in the context of a polyatomic gas whose molecules undergo resonant collisions. The peculi…
Exponential convergence towards consensus for non-symmetric linear first-order systems in finite and infinite dimensions
Laurent Boudin, Francesco Salvarani, Emmanuel Trélat
We consider finite and infinite-dimensional first-order consensus systems with timeconstant interaction coefficients. For symmetric coefficients, convergence to consensus is classi…
On a nonlinear parabolic problem arising in the quantum diffusive description of a degenerate fermion gas
Luigi Barletti, Francesco Salvarani
This article studies, both theoretically and numerically, a nonlinear drift-diffusion equation describing a gas of fermions in the zero-temperature limit. The equation is considere…
Kinetic approach to the collective dynamics of the rock-paper-scissors binary game
Nastassia Duteil, Francesco Salvarani
This article studies the kinetic dynamics of the rock-paper-scissors binary game. We first prove existence and uniqueness of the solution of the kinetic equation and subsequently w…
On the Maxwell-Stefan diffusion limit for a reactive mixture of polyatomic gases in non-isothermal setting
Benjamin Anwasia, Marzia Bisi, Francesco Salvarani +1
In this article we deduce a mathematical model of Maxwell-Stefan type for a reactive mixture of polyatomic gases with a continuous structure of internal energy. The equations of th…
Homogenization in the energy variable for a neutron transport model
Harsha Hutridurga, Olga Mula, Francesco Salvarani
This article addresses the homogenization of linear Boltzmann equation when the optical parameters are highly heterogeneous in the energy variable. We employ the method of two-scal…