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Wednesday, March 19, 2025 - 09:00 in V2-205


Regularity for the Boltzmann equation via nonlocal operators

A talk in the Nonlocal Equations: Analysis and Numerics series by
Xavier Ros-Oton from Barcelona

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.

Within the CRC this talk is associated to the project(s): A7



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