Abstract
In the analysis of singular Euler flows, real or imagined, Lagrangian variables offer an attractive option, although it is well known that in many flow problems Lagrangian methods can be intractable. In other examples, Lagrangian variables are found to simplify the representation. We examine here some aspects of Lagrangian analysis of fluid flows, then focus on simple singular solutions of Euler’s equations having infinite kinetic energy. We use these solutions to explore the different forms taken by these flows in Eulerian and Lagrangian formulations. We then apply a Lagrangian construction to a set of singular flows in two dimensions, as examples of a general method. Finally, we comment on the analogous but far more difficult application of the method to singular Euler flows in three dimensions.
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Childress, S. (2001). Euler Singularities from the Lagrangian Viewpoint. In: Ricca, R.L. (eds) An Introduction to the Geometry and Topology of Fluid Flows. NATO Science Series, vol 47. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0446-6_16
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DOI: https://doi.org/10.1007/978-94-010-0446-6_16
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0207-6
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