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The impact of Benard's discovery on 20th century physics is crucial to any modern research area such as fluid dynamics, nonlinear dynamics, and non-equilibrium thermodynamics, just to name a few. This centenary review shows the broad scope and development including modern applications, edited and written by experts in the field.

Bénard cells. --- Heat --- Kinetic theory of gases. --- Marangoni effect. --- Nonlinear theories. --- Chaotic behavior in systems. --- Convection. --- Bénard, Henri, --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Nonlinear problems --- Nonlinearity (Mathematics) --- Convection, Marangoni --- Flow, Marangoni --- Marangoni convection --- Marangoni flow --- Gases, Kinetic theory of --- Convection of heat --- Bénard convection --- Bénard convection cells --- Bénard, H. --- Bénard, Henri Claude, --- Statistical Physics, Dynamical Systems and Complexity. --- Classical Continuum Physics. --- Bâenard cells --- Kinetic theory of gases --- Marangoni effect --- Convection --- Physics. --- Continuum physics. --- Statistical physics. --- Dynamical systems. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Mathematical statistics --- Classical field theory --- Continuum physics --- Continuum mechanics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Statistical methods --- Differentiable dynamical systems --- Nonlinear theories --- System theory --- Calculus --- Mathematical analysis --- Mathematical physics --- Liquid-liquid interfaces --- Gases --- Molecular theory --- Statistical mechanics --- Rayleigh-Bénard convection --- Complex Systems. --- Classical and Continuum Physics. --- Statistical Physics and Dynamical Systems.

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This book addresses the fascinating phenomena associated with nonlinear waves and spatio-temporal patterns. These appear almost everywhere in nature from sand bed forms to brain patterns, and yet their understanding still presents fundamental scientific challenges. The reader will learn here, in particular, about the current state-of-the art and new results in: Nonlinear water waves: resonance, solitons, focusing, Bose-Einstein condensation, as well as and their relevance for the sea environment (sea-wind interaction, sand bed forms, fiber clustering) Pattern formation in non-equilibrium media: soap films, chimera patterns in oscillating media, viscoelastic Couette-Taylor flow, flow in the wake behind a heated cylinder, other pattern formation. The editors and authors dedicate this book to the memory of Alexander Ezersky, Professor of Fluid Mechanics at the University of Caen Normandie (France) from September 2007 to July 2016. Before 2007, he had served as a Senior Scientist at the Institute of Applied Physics of the Russian Academy of Sciences in Nizhny Novgorod (Russia). The chapters have been written by leading scientists in Nonlinear Physics, and the topics chosen so as to cover all the fields to which Prof. Ezersky himself contributed, by means of experimental, theoretical and numerical approaches. The volume will appeal to advanced students and researchers studying nonlinear waves and pattern dynamics, as well as other scientists interested in their applications in various natural media. .

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