Some Considerations on the Fluid-Dynamical Limit of Particle Systems

Abstract

In this note we review and compare mathematical procedures aimed at rigorously deriving fluid-dynamic descriptions of classical particle systems in the large-scale limit of Hamiltonian dynamics. Despite the longstanding nature of this program, its fundamental problems remain open, with only a few notable exceptions that we briefly highlight.

Funded by the European Union (ERC CoG KiLiM, 101125162)

References in corpus (2)

• On the theory of Lorentz gases with long range interactions
• Random walks and Lorentz processes