Skip to main content

Singularities and Similarities

  • Chapter
Thin Films of Soft Matter

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 490))

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  • D.G.A.L. Aarts, M. Schmidt, and H.N.W. Lekkerkerker. Direct visual observation of thermal capillary waves. Science, 304:847–850, 2004.

    Article  Google Scholar 

  • M. Abramowitz and I.A. Stegan. Handbook of Mathematical Functions. Dover, 1970.

    Google Scholar 

  • G.I. Barenblatt. Scaling, Self-Similarity, and Intermediate Asymptotics. Cambridge University Press, 1996.

    Google Scholar 

  • G. Birkhoff. Hydrodynamics: A Study in Logic, Fact, and Similitude. Princeton University Press, 1950.

    Google Scholar 

  • K. Libbrecht and P. Rasmussen. The Snowflake: Winter’s Secret Beauty. Voyageur Press, 2003.

    Google Scholar 

  • M. Moseler and U. Landman. Formation, stability and breakup of nanojets. Science, 289:1165–1169, 2000.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 CISM, Udine

About this chapter

Cite this chapter

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

Download citation

  • 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

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics