This work brings together previously unpublished notes contributed by participants of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow, 25-30 August 2006). The study of vortex motion is of great interest to fluid and gas dynamics: since all real flows are vortical in nature, applications of the vortex theory are extremely diverse, many of them (e.g. aircraft dynamics, atmospheric and ocean phenomena) being especially important. The last few decades have shown that serious possibilities for progress in the research of real turbulent vortex motions are essentially related to the combined use of mathematical methods, computer simulation and laboratory experiments. These approaches have led to a series of interesting results which allow us to study these processes from new perspectives. Based on this principle, the papers collected in this proceedings volume present new results on theoretical and applied aspects of the processes of formation and evolution of various flows, wave and coherent structures in gas and fluid. Much attention is given to the studies of nonlinear regular and chaotic regimes of vortex interactions, advective and convective motions. The contributors are leading scientists engaged in fundamental and applied aspects of the above mentioned fields.
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IUTAM SYMPOSIUM ON HAMILTONIAN DYNAMICS, VORTEX STRUCTURES AND TURBULENCE, MOSCOW, 25—30 AUGUST, 2006 , by Professor Keith Moffatt, Vice-President, IUTAM; VORTEX DYNAMICS: THE LEGACY OF HELMHOLTZ AND KELVIN, by Keith Moffatt; VORTEX DYNAMICS OF WAKES, by Hassan Aref; VORTICITY EQUATION OF 2D-HYDRODYNAMICS, VLASOV STEADY-STATE KINETIC EQUATION AND DEVELOPED TURBULENCE, by Valery V. Kozlov; A NEW INTEGRABLE PROBLEM OF MOTION OF POINT VORTICES ON THE SPHERE, by Alexey V. Borisov, Alexander A. Kilin and Ivan S. Mamaev; NONINTEGRABILITY AND FRACTIONAL KINETICS ALONG FILAMENTED SURFACES, by George M. Zaslavsky; TWO-DIMENSIONAL TURBULENCE ON A BOUNDED DOMAIN, by GertJan van Heijst and Herman Clercx; ANALOGY OF A VORTEX-JET FILAMENT WITH THE KIRCHHOFF ELASTIC ROD AND ITS DYNAMICAL EXTENSION, by Yasuhide Fukumoto; ADIABATIC INVARIANCE IN VOLUME-PRESERVING SYSTEMS, by Anatoly Neishtadt, Dmitri Vainchtein, and Alexei Vasiliev; UNSTABLE-PERIODIC-FLOW ANALYSIS OF COUETTE TURBULENCE, by Shigeo Kida, Takeshi Watanabe, and Takao Taya; MOTION OF AN ELLIPTIC VORTEX RING AND PARTICLE TRANSPORT, by Yoshi Kimura; HETONIC QUARTET: EXPLORING THE TRANSITIONS IN BAROCLINIC MODONS, by Ziv Kizner; DYNAMICS OF A SOLID AFFECTED BY A PULSATING POINT SOURCE OF FLUID, by Andrey Morgulis and Vladimir Vladimirov; PHASE TRANSITIONS TO SUPER-ROTATION IN A COUPLED FLUID ROTATING SPHERE SYSTEM, by Chjan C. Lim; VORTEX KELVIN MODES WITH NONLINEAR CRITICAL LAYERS, by Sherwin A. Maslowe and Nilima Nigam; NON-DIVERGENT 2D VORTICITY DYNAMICS AND THE SHALLOW WATER EQUATIONS ON THE ROTATING EARTH, by Nathan Paldor; HIGH DIMENSIONAL HAMILTONIAN DYNAMICAL SYSTEMS: THEORY AND COMPUTATIONAL REALIZATION FOR THEORETICAL CHEMISTRY, by Stephen Wiggins; ON STATISTICAL MECHANICS OF VORTEX LINES, by Victor Berdichevsky; NUMERICAL VERIFICATION OF WEAKLY TURBULENT LAW OF WIND WAVE GROWTH, by Sergei I. Badulin, Alexander V. Babanin, Vladimir B. Zakharov, and DonaldT. Resio; THE SIZE DISTRIBUTION FUNCTION FOR MIXED-LAYER THERMALS IN THE CONVECTIVE ATMOSPHERE, by Alexander N. Vul’fson; FAMILIES OF TRANSLATING NEUTRAL VORTEX STREET CONFIGURATIONS, by Kevin A. O’Neil; LAGRANGIAN FLOW GEOMETRY OF TRIPOLAR VORTEX, by Lorena A . Barba and Oscar U. Velasco Fuentes; CLUSTERING AND MIXING OF FLOATING PARTICLES BY SURFACE WAVES, by Sergei Lukaschuk, Petr Denissenko, and Gregory Falkovich; RESOLUTION OF NEAR-WALL PRESSURE IN TURBULENCE ON THE BASIS OF FUNCTIONAL APPROACH, by Efim Kndashev; TRIPLET OF HELICAL VORTICES, by Valery L. Okulov, Igor V. Naumov, Wen Z. Shen, and Jens N. Sørensen; LONG-WAVE TRANSITION TO INSTABILITY OF FLOWS IN HORIZONTALLY EXTENDED DOMAINS OF POROUS MEDIA, by Andrej Il’ichev and George Tsypkin; NON-DISSIPATIVE AND LOW-DISSIPATIVE SHOCKS WITH REGULAR AND STOCHASTIC STRUCTURES IN NON-LINEAR MEDIA WITH DISPERSION, by Igor B. Bakholdin; HYPER-CHAOS IN PIEZOCERAMIC SYSTEMS WITH LIMITED POWER-SUPPLY, by Alexandr Yu. Shvets and Tatyana S. Krasnopolskaya; ABOUT ANALYTIC SOLVABILITY OF NONSTATIONARY FLOW OF IDEAL FLUID WITH A FREE SURFACE , by Roman V. Shamin; NONINTEGRABLE PERTURBATIONS OF TWO VORTEX DYNAMICS, by Denis Blackmore; ROSSBY SOLITARY WAVES IN THE PRESENCE OF A CRITICAL LAYER, by Philippe Caillol and Roger H. Grimshaw; ADJUSTMENT OF LENS-LIKE STRATIFIED AXISYMMETRIC VORTICES TO PULSONS, by Georgi G. Sutyrin; EVOLUTION OF AN INTENSE VORTEX IN A PERIODIC SHEARED FLOW, by Georgi Sutyrin and Xavier Carton; VORTEX INTERACTION IN AN UNSTEADY LARGE— SCALE SHEAR/STRAIN FLOW, by Xavier Perrot and Xavier Carton; MODIFIED SHALLOW WATER EQUATIONS. SIMPLE WAVES AND RIEMANN PROBLEM, by Kirill V. Karelsky and Aralel S. Petrosyan; ESTIMATION OF OPTIMAL FOR CHAOTIC TRANSPORT FREQUENCY OF NON STATIONARY FLOW OSCILLATION, by Yury Izrailsky, Konstantin Koshel, and Dmitry Stepanov; A UNIFIED LINEAR WAVE THEORY OF THE SHALLOW WATER EQUATIONS ON A
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