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1D And 2D Nonlinear Evolution Equations For Bénard-Marangoni Convection

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Instabilities and Nonequilibrium Structures IV

Part of the book series: Mathematics and Its Applications ((MAIA,volume 267))

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Abstract

The ID Korteweg-de Vries and the corresponding quasi 2D Kadomtsev-Petviashvili theory for solitary waves in shallow liquid layers is generalized to account for viscous and heat dissipation, and energy supply provided by interfacial tension forces. A connection is stablished with closely related experimental work where the essential features of soliton-like collisions is observed.

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References

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Author information

Authors and Affiliations

  1. Instituto de Física de Líquidas y Sistemas Biológicos (IFLYSIB), Universidad Nacional de La Plata, Casilla de Correo 565, 1900, La Plata, Argentina

    A. N. Garazo

  2. Facultad de Ciencias, Universidad Nacional de Educación a Distancia (UNED), Apartado 60141, Madrid, 28080, España

    M. G. Velarde

Authors
  1. A. N. Garazo
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  2. M. G. Velarde
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Editor information

Editors and Affiliations

  1. Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, Chile

    E. Tirapegui

  2. Instituto de Física, Universidad Católica de Valparaíso, Valparaíso, Chile

    W. Zeller

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© 1993 Springer Science+Business Media Dordrecht

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Garazo, A.N., Velarde, M.G. (1993). 1D And 2D Nonlinear Evolution Equations For Bénard-Marangoni Convection. In: Tirapegui, E., Zeller, W. (eds) Instabilities and Nonequilibrium Structures IV. Mathematics and Its Applications, vol 267. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1906-1_21

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  • DOI: https://doi.org/10.1007/978-94-011-1906-1_21

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4842-2

  • Online ISBN: 978-94-011-1906-1

  • eBook Packages: Springer Book Archive

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