Seminar

The talk will be on how to get hydrodynamic equations from the classical mechanics of molecules, something that goes back to JC Maxwell. We shall first recall some of the main ideas and aims of this approach to hydrodynamics. We shall then look at examples where things work as well as one might hope, mainly thanks to uniform estimates on certain solutions of Hamiltonian systems as the number of equations increases to infinity. For these cases the role of hydrodynamic Reynolds stresses becomes clear. If time allows, we might also mention how this approach might be useful for non-uniqueness results for macroscopic PDEs and the role of Gibbs ensembles.