Hydrothermal Surface-Wave Instability and the Kuramoto-Sivashinsky Equation
patt-sol
2009-10-28 v1 Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
solv-int
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.
Keywords
Cite
@article{arxiv.patt-sol/9401001,
title = {Hydrothermal Surface-Wave Instability and the Kuramoto-Sivashinsky Equation},
author = {R. A. Kraenkel and J. G. Pereira and M. A. Manna},
journal= {arXiv preprint arXiv:patt-sol/9401001},
year = {2009}
}
Comments
11 pages, RevTex, no figures