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An introduction to homogenization theory


10:00 - 12:00 Uhr
H 3025
Dr. Martin Heida
MA 568
Alexandra Schulte


Homogenization theory deals with partial differential equations that have highly oscillating coefficients and / or are formulated on domains with periodic holes of small size and distance. The aim of the theory is to understand the influence of the microscopic structures onto the macroscopic behaviour of the solutions of the PDE. Example are the porous media flow, reactions and diffusion in catalyzers and chromatographs or heat transport in polycrystals. We introduce the most common methods of asymptotic expansion, two-scale convergence and unfolding and apply them to reaction-diffusion equations.

This lecture belongs to the modul "Fortgeschrittene Themen der Differentialgleichungen".


Differential Equations I
Analysis III
preferable: Basic knowledge on Hilbert spaces, weak convergence, Banach-Alaoglu theorem, Lax-Milgram lemma


Wird in der Vorlesung bekanntgegeben.

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