Hydrothermal surface-wave instability and the Kuramoto-Sivashinsky equation

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1994-01-31

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Kraenkel, Roberto André [UNESP]
Pereira, J. G. [UNESP]
Manna, M. A.

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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. © 1994.

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Physics Letters A, v. 185, n. 1, p. 88-92, 1994.