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Dynamics of Spatio-Temporal Cellular Structures By Innocent Mutabazi

Dynamics of Spatio-Temporal Cellular Structures by Innocent Mutabazi

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Dynamics of Spatio-Temporal Cellular Structures Summary

Dynamics of Spatio-Temporal Cellular Structures: Henri Benard Centenary Review by Innocent Mutabazi

On March 15, 1901, Henri B' enard defended his thesis entitled "Les Tourbillons cellulaires dans une nappe liquide propageant de la chaleur par convection en 1 r' egime permanent" at the University of Paris, Sorbonne. The results contained in this thesis have been at the origin of recent intensive research activities on c- lular structures observed in many physicochemical systems far from equilibrium: instabilities, spatio-temporal patterns, chaos, and turbulence. The French Physical Society organized a scienti?c meeting to commemorate the centenary of B' enard's thesis, at the Ecole Sup' erieure de Physique et Chimie Industrielles de Paris (ESPCI). This meeting, which gathered approximately one hundred scientists and graduate students working in nonlinear science, was honored by the presence of the director of the ESPCI, Professor Pierre-Gilles de Gennes, Nobel laureate in physics (1991), who gave the opening talk. At the conference, lectures were given by internationally recognized scholars who have contributed to the development of B' enard's work: J.E. Wesfreid, P. Manneville,Y.Pomeau,M.Velarde,J.Gollub,M.Provansal,G.Nicolis,B.C- taing,andP.Coullet.Apostersessionandaroundtableonfurtherdevelopments in nonlinear physics were organized. In the present book, we have extended the list of contributors in order to cover all the aspects involved with B' enard's work, with a main focus on th- mal convection, on B' enard-Marangoni instability and on B' enard-von Karman instability. WewouldliketothankDr.HansKoelschfromSpringerforthepublicationof this monography in the Springer Tracts in Modern Physics series. We ackno- edge a critical reading by C.D. Mitescu and a very helpful technical assistance from Olivier Crumeyrolle.

Table of Contents

The Context of Benard Scientific Work and Nonlinear Science.- Scientific Biography of Henri Benard (1874-1939).- Benard Cellular Structures.- Rayleigh-Benard Convection: Thirty Years of Experimental, Theoretical, and Modeling Work.- Experiments with Rayleigh-Benard Convection.- Rayleigh-Benard Convection as a Model of a Nonlinear System: A Personal View.- Benard Convection and Geophysical Applications.- Benard-Marangoni Cellular Structures.- Benard Layers, Overstability, and Waves.- Hydrothermal Waves in a Disk of Fluid.- Secondary Instabilities in Surface-Tension-Driven Benard-Marangoni Convection.- Benard and Wakes.- Wake Instabilities Behind Bluff Bodies.- Spatial Inhomogeneities of Hydrodynamic Instabilities.- Extension of Benard's Work.- Patterns and Chaotic Dynamics in Faraday Surface Waves.- The Taylor-Couette Flow: The Hydrodynamic Twin of Rayleigh-Benard Convection.

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Dynamics of Spatio-Temporal Cellular Structures: Henri Benard Centenary Review by Innocent Mutabazi
Springer-Verlag New York Inc.
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