Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems

1. Front Matter

   Pages i-xii

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2. Nonlinear Dynamics in Simple Fluids

   1. Spatial and Dynamical Properties of 1 — D Rayleigh-Benard Convection

      • M. Dubois, F. Daviaud, M. Bonetti

      Pages 1-6

   2. Dimensions and Lyapunov Spectra From Measured Time Series of Taylor-Couette Flow

      • Thorsten Buzug, Torsten Reimers, Gerd Pfister

      Pages 7-19

   3. Dynamical Behaviour of Taylor Vortices with Superimposed Axial Flow

      • Karl Bühler, Norbert Polifke

      Pages 21-29

   4. Externally Modulated Hydrodynamic Systems

      • Russell J. Donnelly

      Pages 31-43

   5. Sideband Instability of Waves with Periodic Boundary Conditions

      • B. Janiaud, E. Guyon, D. Bensimon, V. Croquette

      Pages 45-50

   6. Transition to Chaos in Non-Parallel Two-Dimensional Flow in a Channel

      • P. G. Drazin, W. H. H. Banks, M. B. Zaturska

      Pages 51-60

   7. Drifting Convection Rolls Induced by Spatial Modulation

      • G. Hartung, F. H. Busse, I. Rehberg

      Pages 61-65

   8. Convection in a Rotating Cylindrical Annulus with Rigid Boundaries

      • M. Schnaubelt, F. H. Busse

      Pages 67-72

3. Binary Fluid Convection

   1. Complex Demodulation Techniques for Experiments on Traveling-Wave Convection

      • Paul Kolodner, Hugh Williams

      Pages 73-91

   2. Convection in Binary Liquids with Soret Effect: What We Can Learn from Laser Doppler Velocimetry Experiments

      • J. K. Platten, O. Lhost

      Pages 93-100

   3. Boundary Layer Analysis of Traveling Waves in Binary Convection

      • David Bensimon, Alain Pumir, Boris I. Shraiman

      Pages 101-107

   4. Nonlinear Convection in Binary Mixtures

      • E. Knobloch, D. R. Moore

      Pages 109-129

   5. Structure and Dynamics of Nonlinear Convective States in Binary Fluid Mixtures

      • W. Barten, M. Lücke, M. Kamps

      Pages 131-148

   6. Onset of Soret and Dufour Driven Convection in Binary Fluid Mixtures

      • W. Hort, S. J. Linz, M. Lücke

      Pages 149-153

   7. Experimental Study of Binary Fluid Convection in a Quasi 1-Dimensional Cell without Reflections from the Sidewalls

      • Wolfgang Schöpf, Ingo Rehberg

      Pages 155-158

4. Two-Phase Flows

   1. Interfacial Oscillations and Solitons Driven by the Marangoni Effect

      • Manuel G. Velarde, Xiao-Lin Chu

      Pages 159-167

   2. Couette Flows, Rollers, Emulsions, Tall Taylor Cells, Phase Separation and Inversion, and a Chaotic Bubble in Taylor-Couette Flow of Two Immiscible Liquids

      • D. D. Joseph, P. Singh, K. Chen

      Pages 169-189

   3. Traveling Waves in a Partly Solidified Mixture

      • G. Zimmermann, U. Müller

      Pages 191-196

5. Localized Structures and Defects

   1. Phase-Mean Drift Equation for Convection Patterns in Large Aspect Ratio Containers

      • A. C. Newell, T. Passot, M. Souli

      Pages 197-209

This volume contains papers contributed to the NATO Advanced Research Workshop "Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems" held in Streitberg, Fed. Rep. Germany, Sept. 24 through 30, 1989. The purpose of the rather long title has been to focus attention on a particularly fruitful direction of research within the broad field covered by terms like Nonlinear Dynamics or Non-Equilibrium Systems. After physicists have been occupied for several decades mainly with the microscopic structure of matter, recent years have witnessed a resurgence of interest in macroscopic patterns and dynamics. Research on these latter phenomena has not been dormant, of course, since fluid dynamicists interested in the origin of turbulence, meteorologists studying weather patterns and numerous other scientists have continued to advance the understanding of the structures relevant to their disciplines. The recent progress in the dynamics of nonl inear systems wi th few degrees of freedom and the discovery of universal laws such as the Feigenbaum scaling of period-doubling cascades has given rise to new hopes for the understanding of common principles underlying the spontaneous formation of structures in extended continuous systems.

• convection
• dynamics
• laser
• nonlinear dynamics
• stability
• turbulence
• turbulent flow
• vortices
• waves

• University of Bayreuth, Bayreuth, Federal Republic of Germany

  F. H. Busse, L. Kramer

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