Abstract
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.
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References
P. Pelce, Dynamics of Curved Fronts: Perspectives in Physics (Academic Press, New York, 1988)
B. Lewis, G. von Elbe, Combustion, Flames, and Explosions of Gases. (Academic Press, New York, 1961)
J.D. Murray, Mathematical Biology, Biomathematics, vol. 19. (Springer, Berlin, 1989)
A.R. Winfree, When Time Breaks Down. (Princeton University Press, Princeton, 1986)
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© 2014 Springer Japan
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Ei, Si. (2014). Mathematical Analysis for Pattern Formation Problems. In: Nishii, R., et al. A Mathematical Approach to Research Problems of Science and Technology. Mathematics for Industry, vol 5. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55060-0_10
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DOI: https://doi.org/10.1007/978-4-431-55060-0_10
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Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-55059-4
Online ISBN: 978-4-431-55060-0
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