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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
