Kolloquien und Oberseminare Übersicht Detail

Vortragende Person/Vortragende Personen:
Prof. Dr. Georg Menz (University of California at Los Angeles)

Diese Veranstaltung ist Teil der Veranstaltungsreihe „Oberseminar Partielle Differentialgleichungen“.

Abstract: The hydrodynamic limit states that a certain stochastic evolution of a lattice system converges macroscopically to a deterministic non-linear heat equation. We will discuss how the statement of the hydrodynamic limit can be made quantitative with an error term that should scale optimally in the system size. The key step is to introduce an additional evolution on a mesoscopic scale that emerges from projecting the microscopic observables onto splines. The hydrodynamic limit is then deduced in two steps. In the rst step one shows the convergence of the microscopic to the mesoscopic evolution and in the second step one deduces the convergence of the mesoscopic to the macroscopic evolution. The talk is about a joint work with Deniz Dizdar and Felix Otto.