Hydrothermal Surface-Wave Instability and the Kuramoto-Sivashinsky Equation

Details Hydrothermal Surface-Wave Instability and the Kuramoto-Sivashinsky Equation Hydrothermal Surface-Wave Instability and the Kuramoto-Sivashinsky Equation

1994-01-04

arxiv.org/abs/patt-sol/9401001v1

Nonlinear Sciences

Pattern Formation and Solitons

11 pages, RevTex, no figures

Scientific paper

10.1016/0375-9601(94)90992-X

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.

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