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Hydrodynamic singularities

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A Perspective Look at Nonlinear Media

Part of the book series: Lecture Notes in Physics ((LNP,volume 503))

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References

  • Majda A. J. (1991): Vorticity, Turbulence, and Acoustics in Fluid Flow. SIAM Review 33, 349–388

    Article  MATH  MathSciNet  Google Scholar 

  • Dai W., Kadanoff L. P., Zhou S (1991): Interface dynamics and the motion of singularities. Phys. Rev. A 43, 6672–6682

    Article  ADS  Google Scholar 

  • Eggers J. (1997a): Nonlinear dynamics and breakup of free-surface flows. Rev. Mod. Phys. 69, 865–929

    Article  ADS  Google Scholar 

  • Brenner M. P., Shi X. D., Nagel S. R. (1994): Iterated Instabilities during Droplet Fission. Phys. Rev. Lett. 73, 3391–3394

    Article  ADS  Google Scholar 

  • Joseph D. D., Nelson J., Renardy M., Renardy Y. (1991): Two-dimensional cusped interfaces. J. Fluid Mech. 223, 383–409

    Article  ADS  Google Scholar 

  • Richardson S. (1968): Two dimensional bubbles in a slow flow. J. Fluid Mech. 33, 475–493

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • Jeong J.-T., Moffatt H., K. (1992): Free-surface cusps associated with a flow at low Reynolds number. J. Fluid Mech. 241, 1–22

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • de Gennes P. G. (1985): Wetting: Statics and Dynamics. Rev. Mod. Phys. 57, 827–863

    Article  ADS  Google Scholar 

  • Brenner M., Bertozzi A. (1993): Spreading of droplets on a solid surface. Phys. Rev. Lett. 71, 593–596

    Article  ADS  Google Scholar 

  • Papageorgiou D. T. (1995): On the breakup of viscous liquid threads. Phys. Fluids 7, 1529–1544

    Article  MATH  ADS  MathSciNet  Google Scholar 

  • Eggers E., Lister J., Stone H. (1997): Coalescence of liquid drops. manuscript in preparation

    Google Scholar 

  • Mullins W. W., (1965): Morphological changes of a surface of revolution due to capillarity-induced surface diffusion. J. Appl. Phys. 36, 1826–1835

    Article  ADS  Google Scholar 

  • Eggers J., (1997b): Coalescence of drops by surface diffusion. unpublished

    Google Scholar 

  • Moffatt H. K. (1994): private communication

    Google Scholar 

  • Eggers J., Smock M. (1996): The two-roller apparatus at very high driving. unpublished experiments

    Google Scholar 

  • Taylor G. I. (1934): The formation of emulsions in definable fields of flow. Proc. Roy. Soc. London A 146, 501–523

    Article  ADS  Google Scholar 

  • De Bruijn R. A. (1993): Tipstreaming of drops in simple shear flows. Chem. Eng. Sci. 48, 277–284

    Article  Google Scholar 

  • Taylor G. I. (1964): Disentigration of water drops in an electric field. Proc. Roy. Soc. London A 280, 383–397

    Article  MATH  ADS  Google Scholar 

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Jürgen Parisi Stefan C. Müller Walter Zimmermann

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© 1998 Springer-Verlag

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Eggers, J. (1998). Hydrodynamic singularities. In: Parisi, J., Müller, S.C., Zimmermann, W. (eds) A Perspective Look at Nonlinear Media. Lecture Notes in Physics, vol 503. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104971

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  • DOI: https://doi.org/10.1007/BFb0104971

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63995-4

  • Online ISBN: 978-3-540-69681-0

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