✦ LIBER ✦
Exponential averaging for traveling wave solutions in rapidly varying periodic media
✍ Scribed by Karsten Matthies; Guido Schneider; Hannes Uecker
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 232 KB
- Volume
- 280
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
Reaction diffusion systems on cylindrical domains with terms that vary rapidly and periodically in the unbounded direction can be analyzed by averaging techniques. Here, using iterated normal form transformations and Gevrey regularity of bounded solutions, we prove a result on exponential averaging for such systems, i.e., we show that traveling wave solutions can be described by a spatially homogenous equation and exponentially small remainders. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)