Mathematical Analysis for Pattern Formation Problems

  • Shin-ichiro Ei
Part of the Mathematics for Industry book series (MFI, volume 5)


We explain our theoretical treatment of various kinds of patterns appearing in nature in this paper. We introduce one of our typical approaches to focus on the pattern boundaries and to derive a curvature flow equation for the motion of these boundaries. This approach is based on the idea that patterns are defined by their boundaries.


Interface Curvature flow Reaction-diffusion model 


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Copyright information

© Springer Japan 2014

Authors and Affiliations

  1. 1.Institute of Math-for-IndustryKyushu UniversityFukuokaJapan

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