Titlebook: Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems; F. H. Busse,L. Kramer Book 1990 Plenum Press, New Yor

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Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems978-1-4684-5793-3Series ISSN 0258-1221

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Spatial and Dynamical Properties of 1 — D Rayleigh-Benard Convectiontuations between pure dynamical behaviours and very complex spatio-temporal behaviours. Rayleigh-Bénard convection is used to study the specific behaviours in such 1 — . geometries and we report here the main observed features.

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Dynamical Behaviour of Taylor Vortices with Superimposed Axial Flowflow. Linear stability theory is used within the small gap approximation to explain the stability and dynamics of the instabilities in form of ring and spiral vortices. Ring vortices can travel only in the direction of throughflow. In contrast, spiral vortices can be obtained either in a steady stat

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Externally Modulated Hydrodynamic Systemsow with the speed of one cylinder periodically varied and Bénard convection with the temperature of one boundary periodically modulated. Correspondence with theory and outstanding difficulties are discussed.

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Sideband Instability of Waves with Periodic Boundary Conditionsnstability [1], is subcriticai in the case of stationary patterns. In contrast, for traveling waves, we show that the instability occurs via a forward bifurcation. This enables the study of the development of the phase instability and the change in wavenumber. We analyze the phase equation describin

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Drifting Convection Rolls Induced by Spatial Modulationlls is proportional to the amplitude of the modulation, to the sine of the phase difference between the modulation at the upper and lower boundary and to the amount of asymmetric properties of the convecting fluid such as the curvature in the temperature dependence of the density. These results have

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Convection in a Rotating Cylindrical Annulus with Rigid Boundariesonvection in a layer heated from below. The present analysis extends the work of Or and Busse (1987) for stress-free cylindrical walls to the experimentally relevant case of no-slip boundaries. While the major bifurcations of convection flows are preserved, the details of the stability regions are c

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