Nonlinear Waves and Pattern Dynamics

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.

Presents a top quality collection in which leading researchers address open questions in nonlinear physics and fluid mechanics Dedicated to the memory of Prof. Alexander Ezersky, one of the most eminent figures in these fields Will appeal to all researchers interested in the phenomenon of nonlinearity and its ramifications in fluid dynamics

Contenu

Nonlinear Water Waves and Applications: Peregrine's system revisited (Angel DURAN, Denys DUTYKH and Dimitrios MITSOTAKIS).- Laboratory modeling of resonance phenomena in the long wave dynamics (Nizar ABCHA, Ira DIDENKULOVA and Efim PELINOVSKY).- Nonlinear Modulations of Standing Long Gravity Waves in a Resonator (Alexey SLUNYAEV, Alexander EZERSKY, Dominique MOUAZE and Wuttersack CHOKCHAI).- Focusing wave group propagating in finite depth in the presence of surface current and vorticity (Julien TOUBOUL and Christian KHARIF).- Modelling of BoseEinstein condensation in a water tank (Germain ROUSSEAUX and Yury STEPANYANTS).- Laboratory and numerical modeling of stably stratified wind flow over water surface (O.A. DRUZHININ, D.A. SERGEEV, Yu. I. TROISKAYA, W.- T. TSAI, and M. VDOVIN).- Formation of sand bedforms under surface waves (François MARIN and Armelle JARNO).- Aggregation of fibers by waves (Gautier VERHILLE and Patrice LE GAL).- Patterns in Nonequilibrium Media: Order and chaos in 2D nonequilibrium media: Review of Ezersky's experiments (Mikhail RABINOVICH and Patrick WEIDMAN).- Chimera patterns in one-dimensional oscillatory medium (L. A. SMIRNOV, G. V. OSIPOV, and A. PIKOVSKY).- Radial propagation of the critical mode instability in a viscoelastic Couette-Taylor flow (Nizar ABCHA, Fayçal KELAI, Noureddine LATRACHE, Olivier CRUMEYROLL and Innocent MUTABAZI).- The heated Bénard-Kármán street: a review of the effective Reynolds number concept (Pierre PARANTHOEN and Jean-Claude LECORDIER).- Laboratory modelling and acoustic diagnostics of hydrodynamical processes (Vladimir CHERNOV and Alexander EZERSKY).

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