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Tubes, Sheets and Singularities in Fluid Dynamics

Proceedings of the NATO ARW held in Zakopane, Poland, 2–7 September 2001, Sponsored as an IUTAM Symposium by the International Union of Theoretical and Applied Mechanics

by K. Bajer(ed.) ; H.K. Moffatt(ed.)
Tubes, Sheets and Singularities in Fluid Dynamics by K. Bajer
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Modern experiments and numerical simulations show that the long-known coherent structures in turbulence take the form of elongated vortex tubes and vortex sheets. The evolution of vortex tubes may result in spiral structures which can be associated with the spectral power laws of turbulence. The mutual stretching of skewed vortex tubes, when they are close to each other, causes rapid growth of vorticity. Whether this process may or may not lead to a finite-time singularity is one of the famous open problems of fluid dynamics.

This book contains the proceedings of the NATO ARW and IUTAM Symposium held in Zakopane, Poland, 2-7 September 2001. The papers presented, carefully reviewed by the International Scientific Committee, cover various aspects of the dynamics of vortex tubes and sheets and of their analogues in magnetohydrodynamics and in quantum turbulence. The book should be a useful reference for all researchers and students of modern fluid dynamics.

Springer Netherlands; April 2006
401 pages; ISBN 9780306484209
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Title: Tubes, Sheets and Singularities in Fluid Dynamics
Author: K. Bajer; H.K. Moffatt
 
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ISBNs
030648420X
9780306484209
9781402009808