Abstract
In recent years, patterns formed by instabilities in propagating interfaces between different phases have received considerable attention1. Two of the best known examples of this type of system are dendritic growth2 and the Saffman-Taylor finger3. It has become clear that the degeneracy of the macroscopic problem (family of Ivantsov parabolas4 and family of Saffman-Taylor Solutions) are lifted by surface tension acting as a singular perturbation. Most surprisingly, this selection mechanism is beyond all orders of perturbation theory; therefore, it requires a rather sophisticated analysis to reveal its workings.
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© 1991 Plenum Press, New York
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Brener, E., Levine, H., Tu, Y. (1991). Growth of Non-Reflection Symmetric Patterns. In: Amar, M.B., Pelcé, P., Tabeling, P. (eds) Growth and Form. NATO ASI Series, vol 276. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1357-1_3
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DOI: https://doi.org/10.1007/978-1-4684-1357-1_3
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