Abstract
We discuss the mathematical description of self-similar phenomena. Such phenomena cover many different length or time scales. Self-similarity allows a transformation from one scale to another and final reduction to a system that has only one scale. This is illustrated through a series of examples including diffusion processes, drop pinch-off and nanojets.
Keywords
- Dimensional Analysis
- Similarity Solution
- Liquid Bridge
- Nonlinear Eigenvalue Problem
- Surface Tension Energy
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© 2007 CISM, Udine
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Eggers, J.G. (2007). Singularities and Similarities. In: Kalliadasis, S., Thiele, U. (eds) Thin Films of Soft Matter. CISM International Centre for Mechanical Sciences, vol 490. Springer, Vienna. https://doi.org/10.1007/978-3-211-69808-2_3
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DOI: https://doi.org/10.1007/978-3-211-69808-2_3
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-69807-5
Online ISBN: 978-3-211-69808-2
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