Hydrothermal Surface-wave Instability and the Kuramoto-sivashinsky Equation

نویسندگان

  • R. A. Kraenkel
  • J. G. Pereira
چکیده

We consider a system formed by an infinite viscous liquid layer with a constant horizontal temperature gradient, and a basic nonlinear bulk velocity profile. In the limit of long-wavelength and large nondimensional surface tension, we show that hydrothermal surface-wave instabilities may give rise to disturbances governed by the Kuramoto-Sivashinsky equation. A possible connection to hot-wire experiments is also discussed. Typeset using REVTEX 1

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تاریخ انتشار 1994