dorsal/arxiv
View SchemaHydrothermal Surface-Wave Instability and the Kuramoto-Sivashinsky Equation
| Authors | R. A. Kraenkel, J. G. Pereira, M. A. Manna |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9401001 |
| URL | https://arxiv.org/abs/patt-sol/9401001 |
| DOI | 10.1016/0375-9601(94)90992-X |
Abstract
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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"abstract": "We consider a system formed by an infinite viscous liquid layer with a\nconstant horizontal temperature gradient, and a basic nonlinear bulk velocity\nprofile. In the limit of long-wavelength and large nondimensional surface\ntension, we show that hydrothermal surface-wave instabilities may give rise to\ndisturbances governed by the Kuramoto-Sivashinsky equation. A possible\nconnection to hot-wire experiments is also discussed.",
"arxiv_id": "patt-sol/9401001",
"authors": [
"R. A. Kraenkel",
"J. G. Pereira",
"M. A. Manna"
],
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"patt-sol",
"nlin.PS",
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"solv-int"
],
"doi": "10.1016/0375-9601(94)90992-X",
"title": "Hydrothermal Surface-Wave Instability and the Kuramoto-Sivashinsky Equation",
"url": "https://arxiv.org/abs/patt-sol/9401001"
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