Titlebook: IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence; Proceedings of the I Alexey V. Borisov,Valery V. Kozlov,Mikhail A.

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IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence978-1-4020-6744-0Series ISSN 1875-3507 Series E-ISSN 1875-3493

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https://doi.org/10.1007/978-1-4020-6744-0Ocean; chaos; complex systems; fluid dynamics; neural networks; nonlinear dynamics; numerical and computat

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Vorticity Equation of 2D-Hydrodynamics, Vlasov Steady-State Kinetic Equation and Developed Turbuleny flow stabilize. More exactly, the problem of a weak limit of vortex distribution in two-dimensional flow of an ideal fluid at time tending to infinity is considered. Relations between the vorticity equation and the well-known Vlasov equation are discussed.

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A New Integrable Problem of Motion of Point Vortices on The Sphere,m of . antipodal vortices can be reduced by four dimensions (two degrees of freedom). The cases . = 2, 3 are explored in greater detail both analytically and numerically. We discuss Thomson, collinear and isosceles configurations of antipodal vortices and study their bifurcations.

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Motion of an Elliptic Vortex Ring and Particle Transport,keeping the self-induction constant and changing its value in the equation, different features of particle motion around an elliptic vortex ring, corresponding to thin and fat vortex rings, can be observed numerically.

玩忽职守

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The Size Distribution Function For Mixed-Layer Thermals in The Convective Atmosphere, Boltzmann statistics is supplemented with a hydrodynamic invariant that describes the motion of isolated thermals. The gamma distribution that we have derived agrees with numerous experimental data obtained earlier for size distribution of thermals in the convective boundary layer.

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1875-3507 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,