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Vortex Dynamics


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Table of Contents

1. Fundamental properties of vorticity; 2. Singular distributions of vorticity; 3. Vortex momentum; 4. Motion with surfaces; 5. Some applications; 6. Creation of vorticity; 7. Dynamics of line vortices in two-dimensional flow; 8. Vortex sheets in two dimensions; 9. Dynamics of two-dimensional vortex patches; 10. Axisymmetric vortex rings; 11. Dynamics of vortex filaments; 12. Three-dimensional vortex instability; 13. Effects of viscosity; 14. Miscellaneous topics.

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Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory.


' ... a major contribution to the literature of physical and mathematical vortex dynamics.' Science ' ... attractive for students of fluid mechanics ... a valuable source of inspiration for teachers.' Bulletin of the London Mathematical Society

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