Abstract
A system of equations determining average velocity of ideal incompressible fluid is derived from the assumption that fluid motion is ergodic. Two flows are considered: one vortex line in a bounded cylindrical domain and a flow of almost circular vortex lines. In the first case the averaged equations have the form of an eigenvalue problem similar to that for Schrődinger’s equation.
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© 2008 Springer Science + Business Media B.V
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Berdichevsky, V. (2008). On Statistical Mechanics of Vortex Lines. In: Borisov, A.V., Kozlov, V.V., Mamaev, I.S., Sokolovskiy, M.A. (eds) IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence. IUTAM Bookseries, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6744-0_17
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DOI: https://doi.org/10.1007/978-1-4020-6744-0_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-6743-3
Online ISBN: 978-1-4020-6744-0
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