Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Mathematische Modellierung und partielle Differentialgleichungen

 

Dr. Vishnu Raveendran
Universität Bonn

 
spricht am
 
Dienstag, 1. Juli 2025
 
um
 
16:00 Uhr
 
im
 
Raum 1309 (I2)
 
über das Thema:
 

»Upscaling of reaction-diffusion equation with strong drift«

Abstract:
We discuss the periodic homogenization of a reaction-diffusion problem with large nonlinear drift posed in an unbounded perforated domain. The nonlinear problem is associated with the mean-field limit of an asymmetric simple exclusion process governing a population of interacting particles crossing a domain with obstacles. We are interested in deriving the upscaled model equations and the corresponding effective coefficients for the case when the microscopic dynamics are linked to a particular choice of characteristic length and time scales that lead to a fast exploding nonlinear drift. We perform the homogenization via formal two-scale expansion with drift and then justify the result rigorously by using two-scale convergence with drift. This is a joint work with I. de Bonis (Rome, IT), E.N.M. Cirillo (Rome, IT), and A. Muntean (Karlstad, SWE)

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Malte Peter



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