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. Front Matter ....Pages i-xvii Front Matter ....Pages 1-1 Peregrine’s System Revisited (Angel Durán, Denys Dutykh, Dimitrios Mitsotakis)....Pages 3-43 Laboratory Modeling of Resonance Phenomena in the Long Wave Dynamics (Nizar Abcha, Efim Pelinovsky, Ira Didenkulova)....Pages 45-61 Standing Gravity Wave Regimes in a Shallow-Water Resonator (Alexey Slunyaev, Alexander Ezersky, Dominique Mouaze, Wuttersack Chokchai)....Pages 63-75 Focusing Wave Group Propagating in Finite Depth in the Presence of Surface Current and Vorticity (Julien Touboul, Christian Kharif)....Pages 77-90 Modeling of Bose–Einstein Condensation in a Water Tank (Germain Rousseaux, Yury Stepanyants)....Pages 91-101 Laboratory and Numerical Modeling of Stably Stratified Wind Flow Over Water Surface (O. A. Druzhinin, D. A. Sergeev, Yu I. Troitskaya, W.-T. Tsai, M. Vdovin)....Pages 103-112 Formation of Sand Bedforms Under Surface Waves (François Marin, Armelle Jarno)....Pages 113-126 Aggregation of Fibers by Waves (Gautier Verhille, Patrice Le Gal)....Pages 127-136 Front Matter ....Pages 137-137 Order and Chaos in 2D Nonequilibrium Media: Review of Ezersky’s Experiments (Mikhail Rabinovich, Patrick Weidman)....Pages 139-158 Chimera Patterns in One-Dimensional Oscillatory Medium (L. A. Smirnov, G. V. Osipov, A. Pikovsky)....Pages 159-180 Radial Propagation of the Instability Modes Observed in a Viscoelastic Couette–Taylor Flow (Nizar Abcha, Fayçal Kelai, Noureddine Latrache, Olivier Crumeyrolle, Innocent Mutabazi)....Pages 181-196 The Heated Bénard–Kármán Street: A Review of the Effective Reynolds Number Concept (Pierre Paranthoën, Jean-Claude Lecordier)....Pages 197-219 Laboratory Modelling and Acoustic Diagnostics of Hydrodynamical Processes (Vladimir Chernov, Alexander Ezersky)....Pages 221-229