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Universität Augsburg
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Universität Augsburg
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Dr. Vishnu Raveendran
Universität Bonn
spricht am
Dienstag, 1. Juli 2025
um
16:00 Uhr
im
Raum 1309 (I2)
über das Thema:
| 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 |