Evolution equation of surface waves in a convecting fluid
- 1 March 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 41 (6) , 3125-3128
- https://doi.org/10.1103/physreva.41.3125
Abstract
We study the evolution of long shallow waves in a convecting fluid when the critical Rayleigh number slightly exceeds its critical value. The surface displacement is found to obey a perturbed Korteweg–de Vries equation that includes diffusion and instability effects.Keywords
This publication has 14 references indexed in Scilit:
- Solitary waves in a shallow viscous fluid sustained by an adverse temperature gradientPhysical Review Letters, 1989
- Traveling Waves and Defect-Initiated Turbulence in Electroconvecting NematicsPhysical Review Letters, 1989
- Structure of nonlinear traveling-wave states in finite geometriesPhysical Review A, 1988
- Oscillatory instabilities in the Rayleigh–Bénard problem with a free surfacePhysics of Fluids, 1987
- Exact solution of the linear-stability problem for the onset of convection in binary fluid mixturesPhysical Review A, 1987
- Traveling waves and spatial variation in the convection of a binary mixturePhysical Review A, 1987
- Flow patterns and nonlinear behavior of traveling waves in a convective binary fluidPhysical Review A, 1986
- Large scale instability of nonlinear standing wavesJournal de Physique Lettres, 1985
- Intermittency through modulational instabilityPhysics Letters A, 1983
- Approximate Equations for Long Nonlinear Waves on a Viscous FluidJournal of the Physics Society Japan, 1978