21 citations · 40 across the 10 of their papers we have counts for
11 papers · 1 filter
Multiscale analysis of a kinetic equation for mechanotaxis
Benoît Perthame, Francesco Salvarani, Shugo Yasuda
We present a new kinetic equation for cell migration driven by mechanical interactions with the substrate, an effect not previously captured in kinetic models, and essential for ex…
A kinetic model for polyatomic gas with quasi-resonant collisions leading to bi-temperature relaxation processes
Thomas Borsoni, Laurent Boudin, Julien Mathiaud +1
In this article, we extend the Boltzmann framework for polyatomic gases by introducing quasi-resonant kernels, which relax resonant interactions, for which kinetic and internal ene…
A kinetic theory approach to consensus formation in financial markets
Jean-Gabriel Attali, Francesco Salvarani
It is sometimes acknowledged that (sell-side) equity analysts' recommendations influence investors and therefore market prices. In particular, the S&P 500 is expected to decline (r…
Self-similar solutions, regularity and time asymptotics for a nonlinear diffusion equation arising in game theory
Marco Antonio Fontelos, Francesco Salvarani, Nastassia Pouradier Duteil
In this article, we study the long-time asymptotic properties of a non-linear and non-local equation of diffusive type which describes the rock-paper-scissors game in an interconne…
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…