Abstract: The Boltzmann equation is the oldest nonlocal/fractional equation, dating back to 1872. It is a fundamental equation in statistical mechanics, modelling the evolution of a gas. In this talk we will present some recent results about the regularity of solutions to such an equation. Namely, we extend previous results of Imbert and Silvestre, showing that if some observables (mass and pressure) remain bounded, then solutions are smooth.

For further information please contact elisur.magrini@unibocconi.it