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An introduction to the geometry and topology of fluid flows. Proceedings of the NATO Advanced Study Institute “Pedagogical workshop on geometry and topology of fluid flows”, Cambridge, UK, September 11–22, 2000. (English) Zbl 1028.00036
NATO Science Series II: Mathematics, Physics and Chemistry. 47. Dordrecht: Kluwer Academic Publishers. xi, 347 p. (2001).

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The articles of this volume will be reviewed individually.
Indexed articles:
Moffatt, H. Keith, Some remarks on topological fluid mechanics, 3-10 [Zbl 1100.76500]
Langevin, Rémi, Differential geometry of curves and surfaces, 13-33 [Zbl 1066.53006]
Tokieda, Tadashi, Topology in four days, 35-55 [Zbl 1062.57500]
Weber, Claude, Elements of classical knot theory, 57-75 [Zbl 1062.57014]
Kauffman, Louis H., An introduction to knot theory, 77-104 [Zbl 1062.57009]
Boyland, Philip, Fluid mechanics and mathematical structures, 105-134 [Zbl 1100.37508]
Kambe, Tsutomu, Introduction to a geometrical theory of fluid flows and dynamical systems, 137-165 [Zbl 1100.37507]
Brøns, Morten, Streamline patterns and their bifurcations using methods from dynamical systems, 167-182 [Zbl 1100.76521]
Ghrist, Robert; Komendarczyk, Rafal, Topological features of inviscid flows, 183-201 [Zbl 1158.76306]
Ricca, Renzo L., Geometric and topological aspects of vortex motion, 203-228 [Zbl 1100.76511]
Khesin, Boris A., Topology bounds the energy, 229-238 [Zbl 1210.58017]
Berger, Mitchell A., Measures of topological structure in magnetic fields, 239-252 [Zbl 1100.76586]
Shnirelman, Alexander, Diffeomorphisms, braids and flows, 253-270 [Zbl 1210.37050]
Holm, Darryl D., Variational principles, geometry and topology of Lagrangian-averaged fluid dynamics, 271-291 [Zbl 1210.76038]
Hornig, Gunnar, The geometry of reconnection, 295-312 [Zbl 1100.76510]
Childress, Stephen, Euler singularities from the Lagrangian viewpoint, 313-328 [Zbl 1100.76504]
Pelz, Richard B., Analysis of a candidate flow for hydrodynamic blowup, 329-341 [Zbl 1100.76505]

MSC:
00B25 Proceedings of conferences of miscellaneous specific interest
76-06 Proceedings, conferences, collections, etc. pertaining to fluid mechanics
58-06 Proceedings, conferences, collections, etc. pertaining to global analysis
57-06 Proceedings, conferences, collections, etc. pertaining to manifolds and cell complexes
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