Hydrothermal Surface-Wave Instability and the Kuramoto-Sivashinsky   Equation
  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. 
R. A. Kraenkel (IFT-UNESP/Sao Paulo/Brazil), J. G. Pereira (IFT-UNESP/   Sao Paulo/Brazil) and M. A. Manna (Univ. Montpellie...