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Talk

Quantitative uniform in time hydrodynamic limits

  • Daniel Marahrens (University of Cambridge)
A3 01 (Sophus-Lie room)

Abstract

The talk concerns the problem of hydrodynamic limits, where one tries to obtain a macroscopic PDE description from a microscopic discrete stochastic model. We review some results that have been obtained previously and present a new method that allows us to obtain uniform in time estimates on the rate of convergence. This approach is based on comparing the semigroups of the micro- and macroscopic processes via a Duhamel-type formula. Furthermore we present some results on the convergence of the microscopic entropy towards the macroscopic one.

This is joint work with Clement Mouhot.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 11, 2024 tba with Carlos Román Parra
  • Mar 15, 2024 tba with Esther Bou Dagher