I³MS - Klar Seminar

Location: AICES Seminar Room 115, 1st floor, Schinkelstr. 2, 52062 Aachen

Prof. Dr. Axel Klar - Mean Field Approaches to Interacting Particles and Fiber Dynamics

Department of Mathematics, Technical University Kaiserslautern

Abstract

The talk will present an application-oriented introduction to mean-field approximations of interacting physical systems. We investigate microscopic particle systems and their mean-field approximations as well as related hydrodynamic and scalar macroscopic models. Numerical methods for these equations based on mesh-free particle methods for fluid-dynamic equations are discussed, as well as asymptotic preserving approaches for the transition between the different equations. Finally, applications to non-woven textile production, granular flow and crowd dynamics are presented.