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

  • R. A. Kraenkel
  • S. M. Kurcbart
  • J. G. Pereira
  • M. A. Manna
Part IV: Two-Dimensional Structures
  • 181 Downloads
Part of the Lecture Notes in Physics book series (LNP, volume 393)

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.

Keywords

Solitary Wave Rayleigh Number Viscous Fluid Critical Rayleigh Number Oscillatory Instability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • R. A. Kraenkel
    • 1
  • S. M. Kurcbart
    • 1
  • J. G. Pereira
    • 1
  • M. A. Manna
    • 2
  1. 1.Instituto de Física TeóricaUniversidade Estadual PaulistaPaulo, SPBresil
  2. 2.Laboratoire de Physique MathématiqueUniversité MONTPELLIER II, Sciences & Techniques du LanguedocMontpellier CedexFrance

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