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Kadomtsev-Petviashvili and (2+1)-dimensional burgers equations in the Bénard problem

  • Part IV: Two-Dimensional Structures
  • Conference paper
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Nonlinear Coherent Structures in Physics and Biology

Part of the book series: Lecture Notes in Physics ((LNP,volume 393))

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Abstract

We study the surface perturbation of a viscous fluid adequately heated from below. We shown that under appropriate perturbations to the static solution the system exhibit oscillatory instabilities governed by the Kadomtsev-Petviashvili equation or by the (2+1) dimensional Burgers equation.

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References

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Authors and Affiliations

  1. Instituto de Física Teórica, Universidade Estadual Paulista, 0145-SAO, Paulo, SP, Bresil

    R. A. Kraenkel, S. M. Kurcbart & J. G. Pereira

  2. Laboratoire de Physique Mathématique, Université MONTPELLIER II, Sciences & Techniques du Languedoc, 34095, Montpellier Cedex, France

    M. A. Manna

Authors
  1. R. A. Kraenkel
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  2. S. M. Kurcbart
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  3. J. G. Pereira
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  4. M. A. Manna
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Editor information

M. Remoissenet M. Peyrand

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© 1991 Springer-Verlag

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Kraenkel, R.A., Kurcbart, S.M., Pereira, J.G., Manna, M.A. (1991). Kadomtsev-Petviashvili and (2+1)-dimensional burgers equations in the Bénard problem. In: Remoissenet, M., Peyrand, M. (eds) Nonlinear Coherent Structures in Physics and Biology. Lecture Notes in Physics, vol 393. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54890-4_179

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  • DOI: https://doi.org/10.1007/3-540-54890-4_179

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54890-4

  • Online ISBN: 978-3-540-46458-7

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