Applied Analysis Reading Group

11 June 2015: Max Fathi (Lyon)

Rates of convergence to the hydrodynamic limit

Deriving a hydrodynamic limit consists in rigorously obtaining some macroscopic equation (for example, the heat equation) as the scaling limit of a large system of interacting particles. In 2009, Grunewald, Otto, Villani and Westdickenberg proposed a new method to obtain quantitative rates of convergence to the hydrodynamic limit in Wasserstein distance for random systems. These results can then be combined with dimension-free functional inequalities to obtain local Gibbs behavior of the system, with quantitative bounds on the relative entropy. This talk will be partly based on joint works with H. Duong (Warwick) and G. Menz (Stanford).

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