Surface perturbations of a shallow viscous fluid heated from below and the (2+1)-dimensional Burgers equation
- 1 January 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 45 (2) , 838-841
- https://doi.org/10.1103/physreva.45.838
Abstract
The (2+1)-dimensional Burgers equation is obtained as the equation of motion governing the surface perturbations of a shallow viscous fluid heated from below, provided the Rayleigh number of the system satifies the condition R≠30. A solution to this equation is explicitly exhibited and it is argued that it describes the nonlinear evolution of a nearly one-dimensional kink.Keywords
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