冯进教授, 美国Kansas大学

We assemble all previous developed results to make statements of the hydrodynamic limit problem. In particular, we use known results on finite dimensional weak KAM (Kolmogorov-Arnold-Moser) theory, showing sufficiency of using a weak version ergodic results on micro-canonical ensembles, instead of the canonical ones, in the weakly interacting action minimizing particle setting.