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Nonlinear Waves and (Dissipative) Solitons in Thin Liquid Layers Subjected to Surfactant Gradients

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Book cover IUTAM Symposium on Nonlinear Waves in Multi-Phase Flow

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 57))

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Abstract

Thermal gradients along or across an interface, or the open surface of a liquid layer, create surface tension gradients, that lead to flow or convective instability (Marangoni effect). We provide an asymptotic nonlinear theory of long (surface) waves excited and sustained, past an instability threshold, by such Marangoni effect.

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Author information

Authors and Affiliations

  1. Instituto Pluridisciplinar, Universidad Complutense de Madrid, Paseo Juan XXIII, n.1, 28040, Madrid, Spain

    Manuel G. Velarde & Alex Ye. Rednikov

Authors
  1. Manuel G. Velarde
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  2. Alex Ye. Rednikov
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Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, University of Notre Dame, Notre Dame, Indiana, USA

    H.-C. Chang

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© 2000 Springer Science+Business Media Dordrecht

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Velarde, M.G., Rednikov, A.Y. (2000). Nonlinear Waves and (Dissipative) Solitons in Thin Liquid Layers Subjected to Surfactant Gradients. In: Chang, HC. (eds) IUTAM Symposium on Nonlinear Waves in Multi-Phase Flow. Fluid Mechanics and Its Applications, vol 57. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1996-4_6

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  • DOI: https://doi.org/10.1007/978-94-017-1996-4_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5517-0

  • Online ISBN: 978-94-017-1996-4

  • eBook Packages: Springer Book Archive

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