Structure of nonlinear traveling-wave states in finite geometries
- 1 October 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 38 (7) , 3593-3600
- https://doi.org/10.1103/physreva.38.3593
Abstract
Numerical simulation of coupled amplitude equations is used to investigate the effect of the wave propagation on the one-dimensional spatial structure of nonlinear wave states in finite geometries. The work is motivated by experiments on oscillatory convection in binary fluid convection. Predictions of confined states, temporally modulated confined states, and other dynamic states are discussed and compared with experiment.Keywords
This publication has 14 references indexed in Scilit:
- Multidimensional nonlinear diffusion arising in population geneticsPublished by Elsevier ,2004
- Linear instability and the codimension-2 region in binary fluid convection between rigid impermeable boundariesPhysical Review A, 1988
- Topological defects of wave patternsPhysical Review Letters, 1987
- Traveling waves and spatial variation in the convection of a binary mixturePhysical Review A, 1987
- Multistability and confined traveling-wave patterns in a convecting binary mixturePhysical Review A, 1987
- Traveling and Standing Waves in Binary-Fluid Convection in Finite GeometriesPhysical Review Letters, 1986
- Onset of Oscillatory Convection in a Binary Fluid MixturePhysical Review Letters, 1986
- Flow structures and wave-number selection in spiraling vortex flowsPhysical Review A, 1985
- Boundary conditons on the envelope function of convective rolls close to onsetPhysics of Fluids, 1982
- The disintegration of wave trains on deep water Part 1. TheoryJournal of Fluid Mechanics, 1967